Many thanks for coming back to the Community with your post, I'm very sorry to learn about the power cycles there in the home. I've been looking at the boxes you have and have found some detectable issues that I'd really like looked at by an engineer.
Once there, they will look at all boxes. If you're not 100% satisfied and would still like a TiVo, please call our Customer Care team on 150/ 0345 454 1111 and I'm sure they will be able to help you out
I've sent you a 'Private Message', you can find this by clicking on the little red envelope near the top left of the page. Once you've had a little look, be sure to get back to me when you can.