Help buying newer graphics card? Details in post.

Hi all,

I would like a newer graphics card but, have no clue about this. Not looking for a big gaming thing. Just something a notch or two above what I have. I've gone back and forth with the beta driver for this card. When I install it at some point I get a message to update back to old driver. Also need to stay on a social security budget

I've attached all the computer info I have. I truly appreciate any help.