Happy to set you up on our server - we just need to know the size of your site (your developer can tell you that), and we can set up and send you details of the new hosting location for your website.
If you are thinking of migrating the site yourself, this can be a little tricky but there are step-by-step instructions on the Wordpress.org site (click here or search for "Moving to a New Server" on the Wordpress.Org site).
Best of luck with this!