Hello and Welcome!
Sounds like you are kept on your toes
I have a document with advice on how to introduce dogs step by step if you could find friends who would be willing to help by letting you introduce Madison to their dogs using this very simple programme, you could always use distraction techniques like a squeeky toy, a bit of cheese or cooked liver, dog treats aren't always tasty enought to divert their attention! There is allsorts of good ways of introducing dogs but hope the following helps
1. It's generally best when they are not over excited i.e. full of energy.
2. Neutral territory for initial introduction, for example a field or park, not in the house.
3. Don't introduce straight away, walk them near each other for 15 mins or so, with handlers in the middle.
4. Then let them walk next to each other.
5. Then let them sniff each other, it's a good thing for them to sniff bums etc...
5. Then if all good they can be off lead together to play.
The main thing to remember is that for dog intro's to run smoothly let them get used to each others presence first, so they are aware of each other but realise neither is a threat.
People make the mistake of letting them go nose to nose straight away at the start of a walk when dogs are at their most energetic and vulnerable-not good!
Some info on introducing dogs:
It's normally a bad idea for strange dogs to meet nose to nose straight away as this is when they suss each other out and it's seen as a confrontation by dogs that have issues.
Go out for a walk on neutral territory with both dogs, let them walk near each other but not together, then after a good 15 mins or however long you want start bringing them closer together as you walk, then let them walk side by side.
Then it’s safe to introduce them on the lead, let them sniff etc... then carry on walking again, at some point they can be let off lead together in a secure area.
The handlers must be confident at all times otherwise the dogs will pick up on this, the lead must never be held short and tight, it must be loose so the dogs don’t feel restrained. Remember some dogs are good with dogs off lead but not good when on lead.
Always introduce new dogs after a walk or a good play so that their energy levels are down. Introducing hypo or excited dogs isn’t always a good thing!
If you are out walking with your dog and a dog comes running at you which will probably happen, don't panic! Both dogs will pick up on this but if the owner is in sight shout across for him to call his dog back if you are unsure. If the dog comes up to you and your dog remain calm and calmly ask your dog to sit and get her eye contact and reward her with a treat (carry treats with you on walks). If his tail is wagging then it's all good! But if her tail is pointing rigid upright then she could be a bit dominant to start with and ofcourse the same stands for the other dogs.