Red,
I haven't had much trouble with sliming, PBing, and puking, but here's what I've experienced:
Sliming: If I eat something that isn't going down very well (like bread), my nose starts running and I tend to salivate. If this happens, don't eat anymore and don't try to wash it down with a drink (it doesn't work).
PBing: This seems to be the next level after sliming and it has only happened to me once (I understand that it should not be a regular occurrence). After sliming for about five minutes, I began feeling like I had to puke. Suddenly, I spit-up some liquid - presumably the slime (luckily I was standing at the kitchen sink).
Puking: I haven't puked since I got my band. However, I understand it should be avoided at all costs because it can cause band slippage. If I get sick and think I'm going to puke, I will take some anti-nausea medication.
This is my experience, but other bandsters may be able to elaborate further.
Dan