Migration from Windows NT server to Windows 2000 server

Here is my situation:

I have 1 PDC and 1 BDC in Windows NT 4 domain, now I need
purchase anothing server box to replace the PDC and
migrate it to Windows 2000 AD domain, how should I do that?

What I'm thinking is I install Windows NT4 on the new
server first, then make it as BDC, then shutdown both
previous PDC/BDC, then migrade the new server box to
Windows 2000 as DC, then migrate the other old BDC to
windows 2000 as DC too? Does that work?

Thanks
Jack