Moving your existing website and email to us is free with your WordPress Complete plan. We do all of it, and it usually takes about a day.
Please send logins in a support ticket, not by live chat.
Your old website keeps running until your domain points to us, so it should not go offline.
Do not cancel your old hosting until we confirm the move is finished. Afterwards, change the passwords you sent us.
Is your website not built with WordPress? Tell us what it is built with, and we will tell you the options.