Congrats!
We use a slicker brush. The shedding seems to be continuous, but is at its greatest with Max the day after his bath. We also have a comb to help with mats, which luckily aren't common for him.
We bought a raised feeder from Farm and Fleet for Max (Before we got one, we improvised by putting his bowls on an empty Tivo box). It's in our kitchen with 3 bath mats (not the fuzzy kind) under it. Even with the mats, Max still makes water trails after he drinks. I think we bought cheap mats from Walmart or Meijer.
Max has a normal nylon collar. He's not a swimmer and we take it off for bath time, so it rarely gets wet. However, it could still stink...I guess I haven't smelled it.