What will the site’s purpose be? Informational, one page site that tells everyone about you or a site that can take orders, play the bag pipes, and dance on one byte? WordPress is great but is not a fit for all. While you are looking around, take a look a site builders from sitepad, site.pro, and kopage and find hosts that use those. WordPress benefits in that you can move between hosts and some site builders you can do so also and some you can’t.
Though i generally don’t recommend or recommend Bluehost, there are plenty of hosts that post in the shared hosting offers forum that would be likely better .