Help! Need Camcorder Recommendation

Hello everyone. This is Jacob again with a tech question. I need a recommendation for a digital camcorder for filming myself (POV) having sex with others for my website. Things I must consider before buying.
1. Cost (under 1000, at least to begin with)
2. Size- here, smaller is better! I need a camera that I can hold relatively easily while fucking or getting serviced.
3. Steady- I'd like something with a steadycam feature
4- light- I need something that works relatively well in low lighting.
5. Good for the web -I'd like to stream these videos for download.

If anyone has a good suggestion, I'd really appreciate it. Thank you so much!