The steps you need to take to transfer to our hosting:
1) Complete our order form if you haven't already so we can create your hosting account
2) Upload your files to the new account using the servers IP (which will be emailed to you), or domain name if it has already resolved as the FTP host. If you need help with this just contact us we can try and transfer your site for you from your current host free of charge.
3) If we did not register the domain name for you, change the Nameservers (DNS) over to ours at the present registry, or transfer the domain to our registry.
If you have any questions, please contact us.