Newbie wallet questions

I'm currently using Bitcoin core 0.12.1 to store my coins with the intention to hold until august 1st is history.

I don't see myself trading until everything is resolved and there are 1 or 2 stable forks.

Are wallets neutral with regard to the fork, or do some of them imply / force an certain choice?

I.e. should I just upgrade bitcoin core, or should I install a different wallet to let me sit on the sidelines with my popcorn?