@AMC258
Unless you're ignoring reponse TTLs (typically 1 hour) and caching responses indefinitely, a local name server shouldn't be any faster than the caching forwarders provided by most home routers or your operating system, if you leave your system running. DNS is such a lightweight service that I can't imagine the average consumer ISP's name servers being overloaded.
@impactor
If you're serious about learning the ins and outs of DNS, you'll want to run a more recent version of BIND. If you're serious about using your Amiga hardware for the task, take a look at NetBSD:
http://www.netbsd.org/ports/amiga/. You'll have fun experimenting on Amiga OS, but it just wasn't designed for what you're asking it to do.
For small, privately-owned domains, it's best to just use a third-party service like ZoneEdit.com. Regardless of your choice, have fun!
Trev