Read the help files located in the server 2003. There is also a deployment guide on the CD in the extra folder. It will list several methods on upgrading to 2003 and provides step by step instructions. It also lists steps you should take should you be running exchange or RAS. If you wish to maintain the integrity of your domain, I would suggest putting NT server on the new machine as a BDC, upgrade its role to PDC, then upgrade to 2003 on the new machine.
A+/MCP/MCSE/MCDBA