Ben Thanh has bubble tea! It's right by my house, too.
I got excited about bubble tea a few years ago when I was in grad school in New York. I would make the trip from my apartment in Jersey City all the way to the Lower East Side just to get the best bubble tea. Ben Thanh's bubble tea almost lives up to my first bubble tea love. I recommend the honeydew.
I also love their summer rolls, and the service is fast and friendly. It's pretty shady looking on the outside, but it's good food. I see a few Yelpers have had bad experiences with the service, but I always have had a nice time.