Dumpling House is my go to place for dumplings in Chinatown. They have a huge variety of items on the menu that are not dumplings but I can't comment on them as I only tried dumplings there.
As a pescetarian, I also did not order any dumplings with meat in it. I tried the shrimp steamed dumplings and they are great (especially with hot sauce!). I also tried the fried spinach dumplings which are super crunchy and tasty.
The service is generally great but it can be challenging to grab the attention of the servers if you need napkins, want to order a drink etc so I suggest actually requesting those things as you're ordering.