Ok, since your network is one IP segment (192.168.10.0/24) and the other Win2k network is a different IP segment (192.168.11.0/24) then any DHCP problems are non-existent.
YOu will need to have a router route traffic from one IP segment to the other. So, on this router, do NOT allow it to forward BOOTP packets. You see, DHCP packets are BOOTP. If your router blocks BOOTP, then a DHCP requests from a machine on your network will NOT be answered by their DHCP server.
Now, once your router is set up (or whatever device is doing the routing for you, like a Win2K server with RRAS installed) and the BOOTP packets are blocked, and you can successfully PING from your network to theirs, then you can set up a Trust between your two Windows networks. After that, your clients could see their clients; their clients could access shared folders and shared printers on your network and vica versa.
Just make sure your routing is in place and functional. Once that is done, the rest is easy.
hope this helps