The Town Clerk has posted a version of the town’s new precinct map online. Unlike the draft precinct map from the state, this one is a PDF with clear street labels. You can zoom in and scroll and clearly see which streets are in a given precinct.
My street, Avalon Road, is now in precinct 2. You can find the map here.
NOTE: The initial PDF may display horizontally and require that you rotate it to read it easily. I was able to do that by right clicking and selecting rotatoe clockwise a couple of times.