If you want to get everything you can out of the kwick pick (seeing as how it's all you've got at the moment) you could get some sand paper and smooth it over. Take of the sharp square edges. I'd start with 150 grit, then 220, and finally 320 or 400. Steel wool after that is nice, too.
If you're really feeling adventurous you could also try to sand it down thinner. I'm used to picks made from hacksaw blade, and IMO this is kind of chunky.
As far as making your own tips goes, you're limited to metal you can drill reasonably well, which means msot hacksaw blade probably won't work.