How exciting! I know you can't wait for his arrival! Enjoy this special time!!!
I will try to help out all I can. I am still a fairly new Yorkie Mom only having KS 4 months, but I will see if I can add any advice.
1. I am not sure on the first question. I have never had a boy. But my first thought too went to those belly band things. I have heard so many YT'ers rave about those.
2. I think a carrier would be nice for when you have to walk up/down the stairs too. I can imagine 2 would be a handful. I have this carrier that I received as a gift and I could easily fit 3 of Katie Scarlett in there, so it might work for you to put them both in one together just to go up and down the steps.
Petmate Kennel Cab Soft-Sided Pet Carrier in Pink at PETCO
Or if you wanted them separate, what about a bag (like those Kwigy Bo's) to put Sophia in over your shoulder and then a smaller carrier you could tote for Brody?
3. I've never walked more than one dog, but all the dogs/owners we come across in the park that have 2 or more have those couplers and they look like they make life much easier.
4. Possibly feeding them in different rooms if they try to eat one anothers food? I know it may be tricky though with Sophia free feeding.
Sorry I wasn't too much help! But I do want to say Congratulations! I hope everything goes smooth for ya!