I've looked into this myself, as I have a 61 also. After some searching, I've found that the spindles will have to be replaced, either stock ride height or drop, depends what you want. I've never heard of a conversion kit for the existing spindles that the drums use. Anyway, Because you are gonna put discs on it, the brake lines will have to be redone...reason being, the original brakes use a one reservoir master cylinder. All four brakes are fed from one brake line. Disc brakes require a dual reservoir master, and a proportioning valve. Kits are available to do this, but are pricey. Because it will now be dual reservoir, you'll have two brake lines...one going to the front brakes, one going to the rear.
I might be attempting the same thing with mine in a while. Good luck with it, let me know if any of what I just told you doesn't make sense!