You can run Google free device, however you really have to know what you are doing.
Removing Google apps and services from an existing device isn't a recommended way. You may run into serious problems. The common way to get a Google free device is installing a custom ROM without Google apps (for license reasons most custom ROMS don't include Google services/...
Google Play support says:
You can only change your Play country once per year.
When you change your country, you won’t be able to use your Google Play balance that you have in your old country in your new country.
So, avoid Google Play and use another market app. I suggest either:
Both allow auto-updating apps.