Anyone have recommendations for parking in NYC. I'll be coming in to see a show on Broadway in the early afternoon (at Times Square), then shopping and a late show at Radio City Music Hall. It would be nice if we could take bags back to the car and stow in the trunk.

I'm looking for something nearby and safe. I'll have my 15 year old daughter with me so I'm being a little more cautious than usual.

Someone told me that Rockafeller Center is close by and a good parking spot as there is a lot of security. Thoughts?