Which games, if any, would you suggest I play between poker and bridge?

Bridge.
They a healthy dose of Cribbage.

Hearts. A simpler version of bridge.

I’m a fan of Texas Hold’em Poker. If you read about the math and learn th odds of various hands, it’s an interesting mix of psychology and strategy.

I think it depends on who in your circle of family and friends can play either. Poker is okay if you like gambling and if you have several people that are like-minded. Bridge seems, to me, to be a dying game. Far fewer people know how to play bridge and even fewer play it well.

I think Cribbage is somewhere between poker and bridge.
It is my favorite card game. Not many people play it anymore.
If you aren’t interested in that, poker would be my second choice. Texas holdem is fun. I like the suspense of each step.
Cash doesn’t have to be involved. Pretzels, Skittles, or imaginative tokens can be used to bet.

Omaha Hold ‘em is pretty good.