i got the 1 the gadget show told me to buy - it's boss Fuj finepix F31fd ( or even f40 for that matter i suppose) - quick, face detection, big screen, scene settings (for night shots, etc), image stablisation, high speed for moving shots, small fits nicely in pocket. i love it. around £120 - spend the rest on memory cards and a nice case
i prefer the cameras with batteries built in like this 1 (it lasts for AGES!) so you can just charge the camera, rather than having to buy tons of AA's then they only last 1 night Defo a recommended compact camera