Solder? Wow, that's like saying I need a new tire, so I'm going to rebuild a wheel from scratch! Also, have you seen some people deal with blow torches?
Go to your LBS, get some cable ends, crimp them on the end of the cable, 2 seconds, done. I have a pair of Shimano cable cutters, and they a flat section designed to put a nice crimp in those cable ends.
Besides, soldering stainless is a pain in the A**
EDIT: following what Panthers007 said, this is the cheapest place I've found those cutters online
http://www.outsideoutfitters.com/p-2...g-cutters.aspx well worth the money, IMHO.