passwordstore (pass) GPG key management

I recently set up pass as a password manager and set up the git repo feature. With regard to syncing the passwords with other computers, what is the preferred way to transfer the GPG keys?

Is it literally just manually moving the public and private keys to the other device?

I sort of want to include the GPG keys in the repo as well since I self host the git repo and only allow access using ssh tokens for authentication, which I have also manually added. How dumb of an idea is it to implement this way?