mums got a lumix... not sure what model it is but I'll find out when shes in the office next
unfortunately I dont know a great deal about what point and shoot models are out now, but the big players in the game are canon, nikon, sony & panasonic, canon's point and shoots seem to take quite a nice picture.
my advice would be to goto a camera store, find the ones in your price range from each brand, then test them all out at once, eg take the same kind of photo in each one to compare the photo quality they all do, then see which one feels and looks the best to you and which ones menus look better for you.
then go home and goto
www.dpreview.com and read the reviews of the models you're considering.
me personally, I'm nikon biast, so I'll always recommend them, but if I was to buy a point and shoot I'd prob either get a nikon or canon, they're just the norm when it comes to photography hehe