Moving to git is great, moving to github can be terrible for some projects that are more collaborative, as if you want to change someones PR you cannot..
You can makes changes to a PR that you didn't open.
If you want to change the title, edit/delete comments, close the PR, assign a person or labels then you'll need the proper permissions.
If you want to make changes to the code you'll need to have push access to the same repo (which is usually the case if you're on the same team because then you don't need to use forks). Otherwise you can always amend the commit(s) before merging them into master.