Most either split an apartment in Albany with another legislator (dirt cheap, less than 2k a month for a smaller 2 bedroom that's walking distance to their offices) or stay in hotels. They can use their campaign funds to pay for the hotels or use their per diem (that's right the state pays them extra to travel to Albany already) of $183 a night. That pays for a pretty nice hotel in Albany, or some of them stay at the shitty days in by the airport for $60 a night and pocket the rest.