I moved from Godaddy to Bluehost because the latter was rated so highly here. Mistake. First I built a mirror site on Bluehost with a temporary URL, to minimize downtime. It was, in fact, even better than the original.
I imported stuff through WordPress (only to rediscover Links don't export/import with their categories, even with an OPML plugin). Then, following Bluehost's instructions and live "help" everything broke. Posts were renumbered, images broken, links broken, and more. I spoke with no fewer than 7 support guys, and one "level 2" support person, apparently only reachable by email.
Long story short. They don't know WordPress. Now I'm two days into this stupid process and starting over with a new database.