If you register a domain with Cloudflare or Route 53, and that service goes down, do your records stay active in the DNS servers? What if the DNS servers go down, I know a lot of people use 8.8.8.8, so if Google’s server goes down, then DNS fails?
What are the potential point of failures for having your own domain?
There’s a difference between your domain registrar and the authoritative DNS servers for your domain. For example, I register domains with Hover, but host the DNS at AWS. If Hover were to go down, I don’t see how that would have any impact on my DNS. If AWS’s Route53 were to go down, then my DNS is only as good as what’s cached out there on the Internet.
Forgot to answer this. My advice would be to pick a good DNS provider.
It doesn’t have to be the company which registered your domain. A good provider will generally have more than authoritative DNS servers, will generally have them in separate top-level domains (e.g., .com, .net, .uk, etc.), and may even be running Anycast, which makes them even more resilient.