I'm heading I NY with 2 friends for a week in dec from the 17-23 very excited! Have been researching accommodation options and just wanted to get some feedback on any good hostels in New York for a good budget $300-400 per night for the room (not per person). Would we be able to get a good one for that price in manhattan, lower east side area or are we better off staying 'trendy' Williamsburg or Brooklyn and getting a metro card? Obviously we are wanting to do all of the standard touristy attractions but also being in our mid 20's we'll be looking to also head out and see the nightlife so that will also play a roll in where to get accommodation as well as would we be more likely to be heading out in manhattan or in Brooklyn/Williamsburg etc.
Also we were thinking of doing a day trip to Washington does anyone have any tips on best way to get there and how long it would take roughly? And if time we thought maybe a day trip to Boston too but obviously New York is the main draw card and don't want to do too much if its not feasible.
Thanks for your help!