Migrating WINS 2003 to 2008

I'm assuming you're talking about AD in this case? In a nutshell, yes, you should be able to do that, however, before introducing your first Windows 2008 Domain Controller, you need to prep your forest so that all the appropriate AD 2008 Schema Attributes get updated in your forest. After that, you should be abel to introduce your DC.

For additional detailed guidance, please see this article:
http://technet.microsoft.com/en-us/library/cc731188(WS.10).aspx

If you mean by "replication partner" promoting it to a Domain controller then transfering the FSMO roles to it, then demoting the 2003 Server then your answer is yes.
You also have to setup DNS on the new DC and make it a Global catalog.
I would say promote the 2008 server to a DC then setup dns and make sure all that is working forst then start tranfering the roles. if you 2003 DC does your DHCP remember to set that up as well and in the scope options set the DNS server to your new 2008 DC
Link to get you on the way with the transfer...
http://www.howtonetworking.com/server/2008fsmo1.htm 

Actually, I was referring to the WINS (Windows Internet Name Service), not Active Directory. Sorry for the confusion.

So, I setup the new server as a replication partner and started a Pull Replication from all three other WINS servers. It all went okay, however the Expiration dates for all the new records on the new server are significantly shorter than the other servers.

I went through every single property that I could notice, and made sure every setting was exactly the same as the other 3 servers, but still, the expiration for all the new records is about 2 weeks shorter.

Also, the Version for all the new records is significantly different than the other 3 servers. Will this cause any problems down the line when I retire one of the old servers?

I don't think the versions being different will cause any issues.

How about the Expiration Date? Do you know why all the new records on the new server are set to expire so much sooner than the other 3 servers? I checked and all the properties under the "Intervals" tab are the same. I'm not sure where else to check.

thanks for your help.

I don't remember where to set.