Perhaps I should get my first digital camera this Black Friday (or Cyber Monday)
Any tips on what specs/features to look for?
It seems obvious from your question that you don't fall into the category of people who own a film SLR with a collection of lenses. If you did, I'd say stick with that brand and maximize your lens investment. If you were that person, you'd never begin this thread.
Otherwise, buy anything that fits your photo taking habits: anything that's small, slim, comes in a color you like and makes it easy to download your pics to your home PC/MAC. Physical zoom lenses are far superior to software zooms. Lot's of group pics? Make sure buy something with a wide angle lens.
Check out the Canon point-and-shoot's. Fairly idiot proof and the most popular cameras on the market.