Honestly chelsea market is tourist central now and the prices are insane. $16 for a lobster roll that used to be $8. Its pretty inside but youre paying manhattan rent prices for food court quality

Union square market is the actual farmers market with local vendors and reasonable prices. Go Wednesday Friday or Saturday mornings and you can get fresh bread pastries and actual farm vegetables. Plus its outside so you can eat in the park

If you want indoor food halls go to gotham west market instead. Same concept as chelsea but half the price and actual new yorkers eat there