Oxy-acetylene is easier than most people think, Walter. If you set your pressures correctly, get the right size tip for the work, keep your wrist moving and watch the puddle, you can weld like a champ.
However, brazing with a good flux is very easy with something like this and is what I'd do in the case of your door. A good brazing rod, some Harris Stay-Silv flux (it is the best in my experience) and you'll be amazed. That stuff will almost flow like solder and the joint is strong as it ever needs to be. Since brazing is done at a lower temp, it is both easier to use, faster and it won't cause you to distort the metal or risk burn-through.