Bugsy, there's reams I could say on coping with 2, but I wouldn't know where to start!
On bathtime/bedtime with 2: yes, this was hard initially, but try and remember that it really doesn't last too long before you can get no. 2 into the same routine as no. 1. As soon as I possibly could I started bathing them together (which both loved and still do), and certainly by the time dd was 9 months they were on the same routine (as they share a room this was v. important).
Despite having a 2-year-old at the same time as a new baby, I actually found no.2 far easier than no.1. I think this was because I knew when to ignore her! This sounds awful, but what I mean is that when ds was tiny and cried, I jumped to it immediately and dropped everything. With dd, I knew when the cry was serious and when it just meant "I need to grizzle for a couple of minutes before I go to sleep". Also, with ds, if I was getting ready to go out and he needed feeding, I dropped everything, fed him, and was late. With dd, getting ds to toddlers so that he was entertained while I fed dd in peace was more important. With one child, I had trouble getting out of the house before 10.30, whereas with 2 I was always at toddlers by 9.30.
Also remember that baby no.2 has an older brother or sister to entertain them - certainly almost from the word 'go' my daughter has found her brother far more interesting than me, which has helped no end, and he loved (and still does) having an audience.