I am driving from Florida, and I want to know about parking because the hotel does not have parking lot
There is a car park just down from the hotel. Contact the hotel and they'll be able to help you with that and the discount.
I really can't help you with what's available near the Hotel Mulberry. What we do when we visit NYC is this: We park in a parking garage right next to Red Bull Stadium in New Jersey. It's not too expensive.....maybe $10 per day. Then we take the PATH train into the city ($2.50) The PATH terminal is right across the street from the parking facility. We've done this for years and find it's the best way to deal with NYC parking.
There is no parking related to the hotel. But two doors down there is a lot and they give you the "discounted rate" of about $36 (I think). You have to get a coupon from the hotel desk and you give it to the guy at the parking garage, It is an indoor lot and you cannot take it in and out. The $36 is a 24 hour rate. We wanted to take the car out for even half an hour and go back in and he wouldn't let us. They hotel also gives you a coupon for a free breakfast two doors away the other direction .
Get an answer from Hotel Mulberry staff and past guests.