Not sure if this is widely known, but the VX1000 and other models Service Manual are available online and include disassembly instructions. Found an actual free download here:
https://elektrotanya.com/sony_dcr-vx1000_sm.pdf/download.html#dlI bought a Power Switch Control module on eBay and replaced it on my VX21 myself, it was fairly easy. I used to work in computer repair, it's pretty similar, but if you're not versed in small electronics I'm not sure how daunting of a task it would be. I also don't know how involved all the various repairs get, but it's worth looking at the service manual before shipping your camera and paying someone else to do it.
and finally, I echo the others "do not use or buy anything from VX1000market" sentiment.