Central Park. Central Park is Manhattan's largest park. It is open from 6 AM to 1 AM. As of June 2015, Central Park Drives north of 72nd Street are permanently closed to cars. The four Central Park transverse roads remain open to motor vehicles.
The amount of time it takes to tattoo an entire sleeve is also widely variable, depending on the complexity of the design, number of colors, and physical properties of the skin being tattooed. Currently, a fair median rate in the United States for tattooing is probably between $100-150 per hour.
Tattoo artists charge about $100 an hour, and sleeves take roughly 20 hours, so probably about $2000 dollars, probably split into 4 hour sessions. Of course, this also depends on how complicated your planned tattoo is-a lot of places will do free consultations with you in advance to help you get a better idea.