We live in a fast-changing world. There are tons of ways to build a website today.  

ShowIt   (I think the best out there for customization. They have free -to not free.)
Spilled Milk (these guys can build a ShowIt site for you!)
Bludomain (templates. This is what I use.)
Infinet Design (they’ll design for you)
ITDR (they’ll design for you too, for a fancy penny)
Parade 
Livebooks 
Smugmug
Sitecube
yola
wix
weebly
Big Black Bag 
Flosites