DHCP and DNS on a home network

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http://www.unix.com – Let's say I have a home network containing a server that acts as the resident gateway and serves dhcp and dns requests. Laptop A is frequently connected and disconnected from the network as it is used as a travel computer. Is there a secure way to make sure that whenever laptop A is connected to the home network it is always reachable at the same hostname but is configured to acquire its IP information dynamically through dhcp, as it would have to do if it were connected to any other network anywhere else? I am new to dns, but it seems that there is a fair amount of manual configuration req (HowTos)