Yes. There is plenty. There is some Street side parking next to the market and plenty of metered parking on the other side of the tracks from the market. It costs $0.25 per hour. Also, if you walk 5 or so mins down Locust Ave there is more metered parking and then residential streets. Parking on the residential streets are free and will not get you a ticket. I'd recommend parking there if you are fine with walking 5-10 mins to the market.
You will not get a ticket if you park next to market while it is open but it is crowded,
Parking lots near by, yes... But many of them are metered / reserved for commuters. The lot behind the pizza parlor across the street is technically reserved for commuters too, but it's usually empty on weekends.
Yes. There is an entire parking lot adjacent to where the market is held.
Yes, there's many parking on side street, also market is inside LIRR station parking lot, it's Sunday, all meter parking is free on Sunday
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