I use our internet provider (phone company). They finally have space available to users. I've used lot of "free" places that turned into "pay" places throughout the years. Our internet provider has been the most stable of all the sites (Homestead, GeoCites,Tripod to name a few off top of my head). I strongly suggest looking into what your internet provider has to offer.

I use Cute Site Builder by Global Scape.
It takes patience at first to learn but once you get the hang of it it's so easy. I love it.