Three dogs are much harder to deal with then two, especially if one is alone.The following works for two although an experienced person will handle two faster and with less work.
I have 5 dogs here and as a general rule no more than two can interact with each other at a time because I am often alone and, truth to be told, two are enough to deal with.In the yard especially, because they have much more room to move than inside the house.And they move fast
If two of your pit bulls somewhat end up in someone else's yard (big no no) or in contact with someone else's pet don't loose your mind and get over there without nothing.A breaking stick, or parting stick, can work when there is a solid hold and pit bulls are involved.If two pit bulls get in contact with another dog and one starts a fight, the other one is not sitting back watching the show eating popcorns.If he hasn't jumped in he will most likely do it.Even if at least one of your dogs is generally mellow don't count on this to be a rule, given the circumstances.
The first thing to do is to get two leashes.Keep extras leashes and several breaking sticks around the house and in the yard so no matter where you are you will find them quickly.Get your stick, the leashes and go to the dogs.Yes, you might hear the screaming of the dog who is being targeted, especially if he is of a breed different than a pit bull and can't stand up for himself.You waste precious time trying to deal with the situation without nothing.Think before you move and get something.
Get to the dogs and determine which one has no hold, if there is one.The reason is that while you use your stick on the dog who is holding, the other is free to move and can also get a hold.Put a leash on the moving dog and drag him by the fence as fast as you can.Don't be worried about being nice or yell "go away", it won't work with most pit bulls.Unless it is the beginning of a scrap and the dogs are not in full fight drive.You may yell a "enough!", loud but without panicking, and the dog might give you the time to run to them before things escalate.If the fight is serious drag that dog and secure him to a fence or whatever is available.I keep all my dogs with collars, for that reason.
Once that dog is restrained go take care of the dog who is holding. Practicing where to insert the stick is a must.You can't waste time figuring out in between what teeth it has go into when they are killing each other.Before you do that put the leash on and wrap your legs slightly in front of the stifle/hind quarters.Most of the power comes from the rear.Do your best to avoid for your dog to shake, because shaking will cause tissue damage.On a little dog it can be devastating.Put a hand on the collar to hold the head in place and insert the stick .Turn it like it was a motorcycle throttle and open the dog's mouth enough to release the hold.Do not drag a holding dog, it will tear tissues.Breaking teeth is not the issues right now, do what you have to do.Breaking sticks are generally made of soft or medium wood and won't brake teeth if inserted correctly.If you have to use a bit more force so be it.You have to "work it in" a little.If you can't really stick it in, for whatever reason, get that stick inside the collar.One hand on each end.Twist it and cut air supplies.Only as much you need it for the dog to let go for a moment, then pull him away.You will have the leash on already so you can drag him away.
Don't let go of the dog no matter what , because most likely he will try to go back and grab again.
Drag him away and secure him far enough from the other pit bull.In the heat of the moment they might get on each other, still in fight drive and arousal time.
When this is done focus on the non pit bull and move him to where he is safe.Smaller dogs go into shock rather fast so they might collapse on the ground, without fighting back.Others, if no seriously injured, might try to get at your dogs so keep your eyes open.
Other breeds are not as safe to handle as pit bulls and will lash out, getting whatever is in the way, because they are in pain, panic and redirect, which includes targeting you or your hands.Evaluate the situation and keep your hands away from dogs who panic and you do not know so well.A breaking stick is not for those dogs, they usually don't hold but bite and release and it is not safe to mess around their mouth while they try to survive.
If all this happens inside you home, shove one dog after the other into a room and make sure you close the door.It is still best that you at least secure one of them since they won't give up the fight so easily.
There is another device that some folks keep around, which can stop any dog without permanent injuries, and it is only to be used in a real emergency.It has been advertised by some pit bull folks (and not only) and, although I own a couple for extreme emergencies, I don't feel to promote it on here in a wishy washy way.Many people stop being careful about the management and rely on it.Management and breaking sticks are the first choice.I carry it on my walks as well.While I do not have problems handling my own dogs in a fight I am not going to stick my hands near the mouth of a 100 pound rottweiller or other large breed dog who is not giving up and try to kill my animals.
Where to insert the breaking stick? Some people stick it in the space behind the the molars but there is also a very small gap behind the canines, before the first premolar.At times it works there as well, with thinner stick.
Here is the anatomy of a dog's mouth, so you know which teeth we are talking about:

There are a few website that offer breaking sticks.PBRC being one.The money go to homeless pit bulls so it is for a good cause if you buy them trough them.They are out of stock now but will be back soon:
http://www.pbrc.net/shop/bsticks.html
This is what they look like:

If you know of other reliable websites for purchase please post them.I am looking for something smaller to carry on walks so I'd appreciate the info.
If you are handy enough you can make your own, choosing the wood you prefer.Not something too hard, or it might damage teeth.All it is is a hammer handle-sized piece of material with handle end and a flat, wedge-shaped end.What you insert is the flatter part.The length is generally 5 to 8 inches, width 1 to 2 inches.It is inserted up to 1 1/2 inches in the dog's mouth.Impact nylon is also another material that can be used.
Probably needles to say, but if you carry a breaking stick on walks please do not stick it on your jeans back pockets like some folks like to do.It is responsible of you to carry one but nobody really needs to see it unless you in the position to have to use it.The average Joe does not realize that our dogs defending themselves should have the right to do so.Somehow they are always blamed so we are the ones who have to do damage control.Use a fanny pack, or something.
Also needless to say (or not?)...they are bulldogs you own.Even your pet buddy, no game bred, rescued, from breeders of show dogs, back yard bred dog, found in the street and what not still has a certain background.Please understand that while a fight is something ugly to witness, anger gets in the way, we might be scared, and don't know how to deal with our emotions right away, we still chose to own a breed that is not for everyone.There is a reason for that.Don't blame your dogs for being what they are.The choice to get them was yours.