Adam,
I thought the same as you did at first: I wanted the bigger pay that video mystery shops provide, but I didn't want to pay a lot up front for equipment. I did a lot of research and found that like the other guys pointed out, pen cams more often than not will NOT meet the guidelines for most MSC's or their clients. Wireless cams might seem more popular, yet there might be problems with reception in certain areas due to interference of the signal or possibly even range. I bought a Lawmate PV 500 LITE with button cam, and within two shops made more than enough to cover my costs for it. Lawmate is a brand favored by law enforcement and private investigators. Contact some people working in the field; these are experts at surveilance and they can give you valuable insight. I know it helped me immensely.
If you use a button camera, you'll learn that loose shirts work great. Buy a few of them, and also buy buttons that match the button that covers the camera. I crazy glued a small piece of velcro tape on the back side of the camera, and when I put on a shirt I tape a strip of velcro tape behind that to hold it in place, and another piece of velcro tape gets taped to my under shirt to provide a secure hold that won't move. Practice can make more than just a perfect video shop; knowing your camera is pointed in the right direction and you know what to do with it, practice can help make it very natural for you.
After I did enough shops to make a profit beyond covering my expenses and a little more, I also bought a tie camera that matched up with my current equipment. Now I can dress casual or professionally; it doesn't matter, because I can still get the video the client needs.
The bottom line here is that it's worth the investment to get better equipment. Do it, and then go out and make yourself some good money. And have fun while you're at it, too!