What do you think about me asking my girlfriend to move across the country for me?
Why do you want your girlfriend to move for you?
Because I love her and want us to be together
If you love your girlfriend, you should be willing to compromise when it comes to being closer to each other. You should not expect someone to uproot their life and move to be nearer to you. Instead, you should ask your girlfriend how she would feel about living closer together.
She knows I want her to move and she even wants to move.
If you want your girlfriend to move closer, and this is something she wants as well, it would be best to talk to her about when and how the move will happen.