Ordinarily I’m all for doing your own work on your own guitar, but unless you’ve done major work to a guitar before, I’d take it to a good luthier. Even a minor alignment error and you’ve got holes in your guitar that will ruin any resale value it has. That being said, if you’re willing to take the risk, a bigsby shouldn’t be too hard to install if you’ve replaced a bridge, shimmed a neck or slotted your own nut before. It’s all about getting it located and mounted correctly the first time.

This. But I’d use hide glue and then after filling the crack with the glue, use a suction cup to pull it through both sides