What are the bare essentials that I need in terms of equipment when it comes to rock climbing? I've done indoor rock climbing but always rented my equipment from the rock-climbing gym.
(For the purposes of this question, I'm excluding bouldering because I've done that with no special equipment.)
Are climbing shoes necessary? What types of harnesses and ropes do I need? What other equipment is recommended to ensure safe climbing?
I do not have a particular place in mind for doing this climbing; I am looking for absolute-beginner-level equipment that will be suitable for any rock climbing area advertised as "all levels".