Find a socket in your tool box, that is a loose fit when you put in the case, head first. Put it on a 6" extension. Dig out your butane/propane torch. How you secure the tourch is up to your imagination, you just don't want it to fall over or move after you set it. Get a damp towel and lay it out near the torch. Get a handfull of sacrifical cases, and put one in the socket.
Lite the torch and adjust it for a sharp blue cone 1/2 to 3/4 inch long. Hold the shoulder of the bottleneck case in the blue cone and rotate the extension to evenly heat the shoulder and neck ONLY. Watch for the color to change; a kind of straw to light blue grey (youve seen this color before of you have shot military brass). Immediately remove from the flame and tip onto the towel to cool and stop annealing process. You only want to do the neck and about 1/16" below the shoulder. (This is a little subjective depending on caliber. I only shoot 30-06. 22 Hornet, and .223 may be a little different). NEVER HEAT CASE TO WHERE THE NECK TURNS RED! CASE WILL BE OVER ANNEALED AND IS SCRAP.
IMPORTANT: while turning the case in the flame, count, say nursery rhime, anything with a repeatable cadence. Note when the case changes color and is annealed. Now, this will all be dependent on how hot YOUR torch is (butane, propane, MAP gas), how well YOU maintain the case position in the flame and how fast YOU turn the case.
You will trash your first attemps, but YOUR PROCESS will come pretty quickly. I have found that if you rest the extension on something, it helps keep a consistant position in the flame. I use a board with a "V" and rest it in the notch.
Now, this post will draw any manner of comments from "it's Ok", to "my way is better", "get an annealing machine" ($$), or "you have to have a temperature indicating device (templaq)". They do thier job well, but are not really needed. Depends on how much brass you have to process, and how much time you have to do it in.
If you get into serious competative, one bug hole at 1K yds, you will need the machine consistency, but from your post that is in the future.