1. Yes, just make sure it doesn't leak beer.
2. I use a pump from this thread. I pump sanitizer through it and leave the line full of sanitizer when storing.
3. I've never bothered racking to the bottling bucket. I rack right into the keg. You get a bit of yeast for the first couple of pours, and then as long as you don't shake the keg, it pours crystal clear.