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Not a web host, but if you use CloudFlare with SSL in front of your host you get PFS: http://blog.cloudflare.com/staying-on-top-of-tls-attacks

Good to know, thanks. What are the options for communication between CloudFlare and the origin? Do you recommend anything in particular?

Can be SSL or not to the origin. Plus there's the Railgun option that also uses TLS.