If you want to avoid syncing data with Google, but still keep Google Play, you can make a new Google Account with a different email address. Sign into Google Play with that new account, and use it to get apps for your phone going forward.
If you want to avoid syncing data with Google, but still keep Google Play, you can make a new Google Account with a different email address. Sign into Google Play with that new account, and use it to get apps for your phone going forward.