Cool, Id be up for a ride. Just got a flat i the centre of edinburgh + would be good to get out with people better than me! Not ridden the crntre yet personally but a few good looking spots would be; bristo square, around waverly station, theres a few good bits down leith way (if your willing to cycle a bit ),and eh. . . yeah theres more to offer in glasgow though!
Hope this helps a little.
Chappie