My honeymoon starts in 2 weeks! We'll be flying into London on the 4th of May and immediately getting on a plane to Edinburgh. We plan to stay 1 night there, rent a car and then play the rest of the trip by ear.

That being said, what would be a good hotel to stay at for that one night? Something near the train station perhaps? Something nearer to the airport (and probably closer proximity to rental cars)?

Cheaper is better! What do you suggest?