From your post it seems like any budget hosting companies will not have any issues supporting ya. Most hosts with Fantastico -cpanel also autoinstalls many of these forums for ya such as PHPBB, SMF Forums.
Do some research and look around WHT for hosting offers. Be sure to look for reviews and send over some sales questions before signing up.
█•CirtexHosting•Providing Affordable and Quality Web Hosting & Reseller Hosting since 2003 █•LINUX based cPANEL/WHM Shared and Reseller Web Hosting with Fantastico █•HostV VPS•Premium Virtual Private Servers & Dedicated Servers powered by cPanel/WHM █•We transfer your sites over quickly!•I eat penguins for breakfast ...
jedito ... overselling is not a bad thing per say, don't just say something without giving some "facts" ... almost all things commercial are overselling, the air companies do it, the food chains do it, and most hosting companies do it ... its just the way that they do it that's important, yes healty the best thing to do is do some search, try to talk to the host beforehand, and of course their tos has to mention that they do accept adult content.
You may want to ask around in the "Webhosting Offers" section of WHT and make sure that the TOS of that host really allow adult hosting. Although you implied that there maybe no adult pictures, that site will still qualify as adult material hosting.
I am sure you can find one good host here at WHT. Good luck!