My kit is insured through my home & contents.
However due to my line of work I have my isurance through a company that deals with the armed forces.
my camera kit is all insured, all risks, anywhere in the world even on ops.
with one caveat- not for professional use, so if it gets damaged on a paid shoot I am not covered!
I am in the process of starting out doing paid work, Aaduki seem to be quite well regarded, if you call them they will include things like covered in the car overnight etc, also has public liability and professional indemnity., my quote was £345 per annum, with 9K of kit, 8k out of the house in the car, so not too bad imo