In cooler weather exercise-type tights have become popular. Loose-fitting pants or sweats are also appropriate. For the upper body a few light layers along with a wind-breaker or light jacket will be fine. If it's cool enough, a ski-type hat and gloves might be a good idea. In hot summer weather, bicycle-type or walking shorts are appropriate.
Many climbers wear no socks with their climbing shoes.
Wear sneakers or light trail shoes for walking around. You won't need your heavy-duty hiking boots. Bring a light lunch and lots of water, at least 2 liters per person in hot weather. Insect repellent and sun screen are useful when conditions indicate. Put everything in a day pack or knapsack.