Its not text book stuff but ive done it before without any problems...but give the undercoat a rub down with some 100 grade abrasive paper first for good measure
Brands.....
Crown Dulux or Jonstones IMO
Durability...hmmm the jury still seems to be out on this one (especially on here!!!) i'd say W/B eggshell is more durable than Satin (which tend to be more of a retail paint) I think most painters will say oil based is more durable and I must admit I tend to lean that way, however, it depends on where you intend to use it as well.
Weigh the two up..
Water based:
Pro's...Quick drying, less smell, non yellowing, easy to apply,
Cons...Less working time (you have to be pretty quick or you'l lose the wet edge which can leave a flash mark) softer film than oil based, slightly different painting technique used when applying it, will not stick to existing oil based surfaces without giving them a good rub down (which should always be done anyway)
Oil based:
Pro's...Harder wearing finish, does not need an undercoat if appying over gloss, traditional handskills for applying it...longer wet edge time.
Cons...Strong smell which can linger for a few days, will yellow in time, slow drying,
You will have to make some sort of compromise depending on your situation.
Hope that helps