There are plenty of garages near by but it would likely be cheaper to take a car service in if you are going to be gome for more than a day
Many garages nearby, but not specifically at Penn. And there's hourly or daily rates; if you're in for the day I'd say to expect around $75-$100 depending on what time you park.
No, you can't park at Penn Station but can find parking garages nearby.
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