First steps in moving my site to new hosting: register a new domain for seamless transferral.
I am now the proud owner of https://www.cjmoseley.co.uk
There’s nothing there yet, but there will be by the start of next week.
Once I have the site transferred to that domain and working I will be setting up a redirect on the .com and then requesting that my current hosts hand it over. I doubt they’ll refund the difference in the hosting, but at the moment I’m paying them for hardly any service at all it seems.