The Glasgow ATC guys are very accommodating, and a transit say Baillieston, Kingston Bridge, overhead the field, Erskine bridge, Greenock, round Bute/Arran, then back through routing Ardmore Point, Bridge, North of the north bank, city centre and back out would give some super views of the City and the clyde also your childhood haunt, Partick.
As others have suggested, watch supervisor, tell him/her what you want, and dependent on traffic, and runway direction, they should fit you in. I find after 2-4, weekdays, can be quieter, but we are now going into summer, so schedules may have changed. Have a great trip