I'm not sure what you mean by "the" hosting provider for LifeType. We do have a host that pays us for an ad, so maybe that is what you mean. I believe there are some other companies listed as well. (like my own...) http://limedaley.com
I am happy to host a lifetype site, and could easily add you to my setup already in place (since we have the cool multi-domain on one installation feature, which I think is pretty neat...)
But, you could also have a dedicated installation if you wanted.
However, LifeType's development has pretty much stopped, as I don't think any other developers have worked on it in years. I still use it myself, and host a handful of LifeType sites, and keeping thinking that someday I'll get back to it, but in reality, it is probably on its way out. LifeType has some really good design features, from a coding viewpoint, but most people don't care about that, and are more impressed with the graphics, and we'll never be as slick as some other options in that regard.