Not sure if any have filters but there are plenty of hosted portfolio options out there like BehancePro and the like.
I've seen a few roundups of the best ones so a quick Google should turn some up.
I'm putting a new site together and I'm going the Wordpress route and using a template as I don't need to re-invent the wheel with it.
There are LOADS of templates, both free and paid and again there are a lot of roundups of the best.
Be wary of those "roundups" of "the best". Often they're just about how a theme looks, when the real quality of a theme is behind the scenes, the front-end code, plus how things are set up via the admin. If I was forced to use a pre-built theme I would only look at the Genesis framework and associated themes.
Adobe recently launched Adobe Portfolio which I believe is free with CC membership. It automatically links with your Behance page so you don't have to load projects twice. I had a play with it but found it to be a bit clunky and devoid of customisation.