Port 80 is forwarded to a server on my network which has links to the different projects I'm working on, how could I allow people to connect to the server running on my laptop when I'm using it? I would obviously not prefer to change my router settings frequently to port forward to my laptop. I want the user to access my domain and maybe have a set of links which will be described as static and another set which will have a description cautioning the user that said links will only work when I am online and they would somehow redirect to my laptop. (Lamp Server)
Well, if I understood correctly your question, you should configure your laptop as a reverse proxy for your main server.
As you said, you should have a set of links which will redirect to your laptop (via reverse proxy config), but of course these links will work only when your laptop is available.