Hi. As far as I understand from your question, you need a provider and self hosting is not in your plans.
There are several reputable suppliers of this type of service.
Please note that you can do a keyword search for your questions.
Check out these topics
expand to see
1 Domain registration, hosting and privacy
2 Web Hosting for basic website?
3 Can’t decide on domain registrar
4 Recommendation for web hosting providers
5 What is best VPS for anonymity?
6 Privacy respecting VPS recommendations
and note that companies that offer VPS also often offer the service you are interested in.