Just outside Tucson, you will find thousands of granite routes, at a variety of elevations, with a multitude of styles (sport, trad, mixed) that can be climbed almost yearlong. For cold winter days, try the lower elevation crags at the Lower Highway but beware of the water polish. For iconic pinnacle routes with views, you have to visit Windy Point. On hot summer days, head to the wild summit routes.
Sport routes are very well-bolted, but some climbs up to 5.10+ have nasty falls. Pick accordingly. Trad routes feel stiff for the grade (as usual with granite) and mixed routes can sometimes be done as runout sport routes (if you have the head).
Most approaches are not trivial-- even when a guidebook suggests a 10min walk-in. With exception of summit crags (that have long, involved approaches), many crags quote 5-20min walk-ins. Unless you're used to bushwacking through cactus, allow a bit more time and mentally prep yourself for the "wildness" of the area. Belay spots are often in manzanita trees, so set your expectations a bit low to ensure a good time.