Don't get too 'trigger happy' disabling things, at some point it's a matter of killing off the benefits and functionality of owning a smartphone. But if you suspect some app/process to be a problem, just do a Google search on it. Most things will have show a bunch of results. Also, a lot of things you can adjust or turn off in your phone's Settings, Titanium Backup is more for those things you can't typically access.
http://www.ubergizmo.com/how-to/disable-google-location/
Also, on a computer log into your Google account and there's a bunch of things you can change as far as privacy settings
https://myaccount.google.com/intro
As you've already paid for the app, you can remove your card details and it won't affect anything.