Norris Bookbinding. They will resew it for you and put a nice new binding and cover on.
They fixed a small Bible for me already, which was falling apart and had some kind of cheap fake leather cover dating back to the late 1800s that was rotting away from age.
There are several Bible repair places online that specialize in fixing Bibles, missals and heirloom books, but I liked this one the best and thought their communications and pricing were better than other places.
DISCLAIMER: Catholic Answers has turned over the archive to Catholic-Questions.org and no longer owns, manages, or moderates the forums. For additional apologetics resources please visit www.catholic.com.