I can't comment on a chilli cam as I don't have one, but a
GoPro could do what you are looking to do. My GoPro came on a special offer with an accessory pack which included a lighting unit, tripod, waterproof housing, etc., but what accessories which don't come with the camera are also available to buy separately. - Amazon among other places sell them.
The advantage of a GoPro is that it is simple fitting; either a pressure clip or (hand) screw fitting, depending upon the accessory. The disadvantage is the price of the camera. From a quick search, the range of accessories for a chilli cam seem very limited
You will also need to consider the picture quality. I've never used the GoPro on my bike as I have a Cycliq Fly 12 permanently fitted, so I don't know if the camera would pick up registration plates as my Cycliq does.
An alternative to your home recording may be using your phone on a tripod*. The picture quality of many phones seems (at least to my non expert eye), to be very good. Leaving you then with a choice of camera specifically for your bike.
Edit: The tripod that came with my GoPro is only small. - It will comfortably fit on a table. Some floor standing DSLR camera tripods come with an adaptor to accommodate a mobile phone.