without knowing your budget, i would simply stick to well known "camera" brands. Canon, Nikon, Olympus, Fuji etc. I have bought numerous Sony cameras (dont ask me why) and they have all been dog poo.
Depending on how you plan on viewing the results, you mighty consider a Lumix if you have a Panasonic TV with an SD slot, as the card goes straight in and you can view the results on the TV (unless they've dropped that feature). Our one is probably nearest to the DMC-TZ35, haven't bothered to update it as it does all we need