If you want a more touristy place go to Edinburgh with dramatic city centre castle on top of an extinct volcano and the Roya Mike (of whiskey shops) leading up to it...then theres Princess Gardens and the location of "Trainsporring", the famous Grassmarket - good for pubs as is the toursity Rose Street.....however....since Im from Glasgow Id have to say this is more of a lived in feel to it with the famous Buchanan Street, Sauchiehall Street, Glasgow University (16th Century buildings), the famous Victorian Necropolis cemetry where you`ll find the odd real junkie :-), great pubs, and the people are very friendly....you would need to try the famous Horeshoe bar (longest bar in Europe) and the famous 3 pound 3-course lunches upstairs....this is a real galsgow place very close to the railway station....and if you had time rent a car and drive 90 miles up past Loch Lomond to Glencoe -great roads all the way up and rewarded with dramatic mountains and deep valleys like the famous "lost valley" -great for hikiing and some good climbers pubs here.....you could do it all in 3-days :-) (long days :-))....more time means more places - Isle of Skye, Eilan Donan castle (location of castle in Highlander the movie), Glenfiddich distillery (or any whiskey distillery for that matter), St Andrews (close to Edinburgh) etc etc.....
Good luck,
Andy