Put your questions in an email and ask for simple answers. Request domain access, hosting details, website files, content copies and Google Business Profile ownership. Store the details in a password manager, not in a notebook kept at the reception desk. Do not cancel anything until you know where the new website will live and how the domain will be moved safely.
Make a small ownership list today. Record the domain company, renewal date, hosting provider, website system, file location and Google account owner. If any answer is "we hold that for you", ask what happens when you leave. A trustworthy provider should explain the position clearly. You can still pay for support, without giving away control of the foundations of your business.