Hey RC, where are the strings breaking? Are they breaking at the bridge? At the tuning post? Either way you might want to take a look to see if there is any burr or sharp angle that may be sawing the string in two as you play, you may just need to de-burr/ smooth things out a little, breaking 3-4 strings a night tells me their has to be something mechanically wrong, especially if it is the same strings breaking in the same place. As far as Bigsby's go, they make a Bigsby for telecasters, it replaces the stock tele bridge and the bridge pick-up mounts in it, it is basically a self-contained, all in one unit, a tun-o-matic bridge will not work on teles or strats unless the neck to body angle is changed, the tun-o-matic is not designed to work with a neck mounted parallel to the body, if you are going to go with the Bigsby, a good nut and some staggered height locking tuners will help solve alot of problems you would probably run into on that end of things.............