If OP has connected his network using only switches then there should be no issues with DHCP. As long as he isn't using old hub devices, using another home router as a switch, or hasn't configured VLANs (which I don't think OP has).
If OP has connected his network using only switches then there should be no issues with DHCP. As long as he isn't using old hub devices, using another home router as a switch, or hasn't configured VLANs (which I don't think OP has).