What kind of network is this (how complex / what manufacturer?). If it’s all switched on a single VLAN, you don’t need a DHCP relay. If it DOES have multiple subnets, then you have several options:
1) Simply install the DHCP relay software that MAY be available if there’s a Windows server on the (each?) subnet away from the DHCP server
2) Use router capabilities to do the DHCP forwarding for you. (IP helper-address <DHCP.Server.IP>
3) AS you suggested, recreate a DHCP forwarder.
4) Put a DHCP server on each subnet. You could even use a Linksys to do the job.