Full disclosure, you really can't get by using scissors to cut your bias strips, you MUST have a rotary cutter and mat, which I initially did not. However, thanks to a 50% off Joann's coupon I was able to pick up a cutting set AND two sizes of bias tape makers via amazon.com really inexpensively. The bias tape makers may be one hit wonders, but the rotary cutting set I'll get a ton of use out of (union jack bags and pillows, anyone?).
SO! I used this fantastic tutorial to cut and piece my bias strips:
The whole process went really well. I was a little intimidated when I realized I'd have to sew the strips together (duh), but even that was fairly painless.
Then on to the pressing:
I did find that I got a better, more symmetrical edge by keeping my iron about 3/4 of an inch away from my tool as I pressed along, which may have been due to the really thin gingham fabric I was using. If I had it to do over for my first try, I'd pick something with a little more weight. The tape was functional, it just may have been easier to make for the first time using a weightier fabric.
I sliced up my sweater and cut two strips of bias tape a bit longer than each edge and sewed them in using this tutorial and a ball point needle:
The first time I made a cardigan out of a sweater, I sewed the bias tape on the inside of the cardi. This time, since I had cute tape, I sewed it on the outside.