Mogami, Belden, and Canare all make good wire.
Mic cables typically use a XLR connector (female on one end, male on the other) while patch cables typically use a TRS connector (male on both ends). Making either one requires roughly the same amount of work.
There are plenty of threads on this BBS about building cables, you'll have to look through some of the older pages to find them. I'd suggest using the search function but apparently it's been disabled temporarily.
Most connectors come with very little if any instructional info. Use Google to see what you can find on the web. It helps if you have some previous experience with a soldering iron, but it you haven't, find a friend to show you how. It takes a little work to get the hang of it. XLR and TRS connectors run about $2-3 apiece so you want to be comfortable before you start building cables.
Good luck!