I recommend these videos
for tips on developing the app (the "Reddit clone" videos are about Common Lisp with Hunchentoot, ignore the Clojure ones if you don't care about those).
To deploy, it's fairly easy to set up Hunchentoot on a non-privileged port and then set Apache to forward traffic to Hunchentoot via mod_proxy. There are instructions in the Hunchentoot docs.
To run your Lisp persistently on the server, a lot of people just start a REPL in GNU Screen and detach from the Screen instance. Getting it all to survive a system reboot probably requires writing your own init scripts though.