Shouldn't be too much of a problem. First thing i would recommend is to upgrade your PIX to the latest versions of code, specifically PDM (PIX Device Manager). The configuration issues should be a whole lot simpler with PDM.
With the creation of your new network zone, dmz, your major choice is to establish how you are going to deal with NAT. Given that you already have internal devices shown publicly i would suspect you have NAT statements already, all you should need do is re address the hosts and change the NAT statements.