I wanted to wish you my best with the testing and I hope you get to feeling better and figure out the problem soon. As for having MS with kids and dogs, well we have 5 kids and 4 dogs. It can be difficult in the beginning but it does get easier with a lot of understanding and help from the family and some adapatation in daily routine. If it does turn out to be MS, some medications might help with your symptoms. You can always call your doctor now and see if they'd be willing to treat your symptoms now since you are having such trouble.
For your dogs, not sure what type of living situation you are in or where but there are are some options. Other than what Rhonda already mentioned, you could see if there are any dog walking services in your area or call your vet and see if anyone around you does this. Do you live in a house maybe where you could put up a fence to just let them outside instead of walking them?