Fly into Glenrothes which is a cute little tarmac airfield.
Alternative which gives better scenery if you're flying in VFR is Perth Airport at Scone. If I were you, I'd take a detour north on the way home and experience some of Perthshire. It's really nice country.
I wouldn't go to EDI unless you're landing in a Citation and the fees will be about the same as the in-flight wine.
Swerve