When you say public transport I hope you DO mean a taxi because taking the MTA will probably involve a few bus transfers and take you a while since there's no subway or trolly that will get you there (maybe up to an hour to go close to 10 miles). If you can take a cab, do so (and hey the British Pound is great for getting US Dollars right now so for 10 pounds you'll probably get close to $20!! That will help if you plan on taking a cab as my guess is that it'll cost probably close to $40-$50 one way!).
Good luck!!