I have two wired systems hooked to a Linksys WRT54GL wired/wireless router which is also hooked to my internet. I'll refer to this as LAN1. I have two more systems in another room that are connected wirelessly. Recently I decided I would much rather have another wired LAN in the other room and use a bridge to connect them. This would be LAN2.

Prior to hooking up the device I assumed that the ethernet side of the bridge would have a DHCP server so that I could simply hook it up to a switch and I'd be on my way. However that isn't the case which leads me to believe I'll have to add one to LAN2 correct? Or is there some way to have the DHCP from LAN1 also hand out IP addresses to LAN2?

If I do need a DHCP device on LAN2 what would be best? Another hardware device or should I just install some DHCP software on one of the systems (since they're both on 24/7 anyway).

Any recommendations would be appreciated. :)