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if i can do better than games, I'm all ears...
The fact that you're moving in 2 months has created a time constraint hence "moving too fast" where under normay circumstances the relationship would likely unfold more organically in the absence of this reity.
2 months, you like her I say continue things and see where it goes. Lots can happen in that time. Heck you may even realize you two aren't good for each other S romantic partners or that you've become madly deeply in love with one and other and are ready to make a deeper commitment by that time. For you to have any sort of a healthy relationship with her I suggest learning to be present with each other, that means putting out of your head that you ll be moving and instead focusing on just being. Life's full of surprises, why count this one out before its had time to flourish.