The Shutter lag is the biggest problem with almost any digital camera. Unless you are buying a digital SLR which does not have any, make sure you try the camera on a moving subject, and do not buy it unless you are happy with it, or you will curse it every time you use it.

The other thing is get a sensible size memory card. This will allow you to shoot at top quality. There's little point in paying for image quality, and then not being able to use as you've not got room.
I'm using a D70 slr, at 6.1 Mpix, and a 1 gig card give me just over 300 frames.

A 1 gig card is about $70, and you will be able to take your camera on holiday, and not worry about running out of room. A 512 meg is about $40.

It's also worth trying to find a camera that will take standard batteries. Investing in a few sets of NiMH, or Li-ion batteries (good rechargeables) will save you the cost of your camera in not very long.