You can sign up for a shared hosting package and get all your data transferred. After this, you will have to ask your domain registrar to change the nameservers. If you are using cPanel control panel with the current hosting company, transferring your data will be easy. Once the data transfer is completed, you will have to point the domain name to our nameservers. Hope this answers your question, if you would like to know something else, please feel free to post.
