I'm looking for a digital camera in the £100 ish range with built in rechargeable battery and poss takes black and white pics too.
My son has a Kodak but I'm not too keen.
I would highly recommend the middle/lower end of either the Nikon Coolpix or the Canon Powershot range - I've seen and used models from both and they produce excellent results.
I wouldn't worry too much about the B&W option as thats simple to achieve with any basic photo manipulation software, including the free, easy to use and excellent Picasa.