autossh

-R [bind_address:]port:host:hostport

ssh -R *:8080:localhost:80 -N root@website.com
or
ssh -R 0.0.0.0:8080:localhost:80 -N root@website.com
or
ssh -R [::]:8080:localhost:80 -N root@website.com

Note that if you use OpenSSH sshd server, the server's GatewayPorts option needs to be enabled (set to yes or clientspecified) for this to work (check file /etc/ssh/sshd_config on the server). Otherwise (default value for this option is no), the server will always force port bound on the loopback interface only.

In Firefox, the solution is easy. Simply type about:config in the address bar and set network.proxy.socks_remote_dns to true. This will have the remote end (i.e., the machine you are SSH’ing to) handle the DNS lookups.