Your first video
Having just one short video on your website increases trust by 10 x. People don't want slick Hollywood videos they just want to get an authentic sense of who you are. Talk to camera for 5 - 15 seconds, just introduce yourself. 30 - 60 seconds total is ok
It does not matter if you are nervous, everybody's nervous
Copy the set ups of other videos. You don't need groovy settings behing you. Just hang some material on a wall like me. The color should be your 'brand' color - I use sky blue
As long as the sound isn't to low or scratchy, it's hard to go wrong. Studies have shown that people trust 'raw' videos more than slick videos, so go for it!
Make a YouTube channel and host your video there for free. Then copy and paste the videos web address into your website and it will also appear there - BRILLIANT