Can I visit with my ny membership?

You need to check with your NY club to see whether your club has reciprocal arrangements in other cities.

If you are visiting somewhere else for a short period of time, you can always inquire whether you can purchase a mini-membership for a week or so and then do the math whether it is financially advantageous. Clubs will often allow out-of-towners to be guests more often even if their standard policy says that you can only do so once per quarter. This usually applies to in-town guests.