My DH bought me a Kodak from Wal-Mart.
The one thing I wish mine had is the little hole to look thru (don't know what's it's called). If you are outside & the sun is shinning it's hard to see the digital screen to know what you are takinga picture of. My old canera had both.
Make sure it has a zoom for them closeup shots.

I have a Sony that fits in my pocket. I've taken it everywhere and it takes great pictures. Love it.

I have one too and highly recommend it.