Buy two domains at least. One for the actual email and one for redirection email addresses with something like addy.io .
In the UK, open personal details can be resisted from whois listings under data protection, but you can use a mailbox or office address to make that a redirect.
I use a control domain to control all my other customer domains and I separate DNS, domain hosting, email, and websites so no-one has too much control. That was a painful lesson to learn.
Picking domain names is hard. Whatever you pick it will sound silly or it’s already been taken. Just make it easy to spell and short to reduce the pain of spelling it out, and these days LLM tools can help choose.
There’s a change detection add-on for Firefox I use for websites which don’t have RSS feeds. Might work on that other thing.
SiteDelta Watch.