StableHost is an overall decent host, no servers in the UK though. They offer all the same features as most other hosts, with the exception of their clustered hosting technology… which increases overall scalability and speed/performance, with the added bonus that issues with other sites on the same server shouldn’t affect your site as much as it could on other web hosts.
Migration or transfer services are often free or offered at a reasonable fee. These services help move your existing site to the new hosting provider. They can save a huge amount of hassle. Just remember that the migration process is often automated, and may fit in with the host's processes and needs rather than yours. Not everything may migrate, and you may find the organization of the newly migrated site makes for harder maintenance in the long run.
You gain the most web-building functionality if you create a self-hosted site. This typically involves transfering the free WordPress CMS to server or signing up for a web host's optimized WordPress plan. With an optimized plan, the host automatically handles backend stuff, so you don't have to worry about updating the plug-ins and CMS, and enabling automatic backups. In these instances, the WordPress environment typically comes pre-installed on the server.