I went to a new (for me) dim sum place about two weeks ago and was pretty impressed. My friends had already started, so I didn't sample everything, but there was a great variety of dishes. The place is huge, and was lively on a Sunday afternoon. It's called Ming Dynasty, and it's on the upper floor of one of the two shopping malls on East Broadway (there are two, right across the street from each other under the Manhattan Bridge).
Enter the mall that's on the east side of the street, walk toward the back where there is a supermarket (a very good one, by the way), turn right, look for a doorway near the street, and go upstairs. There's another entrance on the side steet, but now I forgot the name of that street. My favorite was a veggie spinach or water cress dumpling-- there were about six small dumplings in one serving-- but everything was good. Don't expect to be understood in English, but persistence will get you an answer or two. I have no idea what the food is like there the rest of the week.
Fun place for dim sum, very good food. Plus, the scene on that stretch of East Broadway on a weekend is amazing-- absolutely jam packed with street sellers selling a dazzling array of all manner of foodstuffs. Lotsa fun to just browse around.