Thanks for the reply, I don't have the shop manual yet, I meant to purchase the 1960 shop manual but purchased the 1962 supplement manual by mistake. I plan on purchasing the shop manual when I purchase the replacement brake lines.
I assume that I'll also have to replace all the springs and other internals in the brakes as well as the wheel cylinders, but someone please correct me if I'm wrong. I want to be able to purchase the majority of the parts I'll need at one time for convenience and to save money on shipping.
If anyone is wondering about the condition of my truck, it's been sitting for 25+ years on the side of my grandfather's shop.
Here's a photo from a while back:
My Truck