Get a router and a switch. You won't find a router with that many ports, but you'll find many many switches.
Staples has a
16-port switch and a
24-port switch
I have a couple of the 16-port switches in place (as well as a couple of 8 ports of the same brand) and they do the job. They aren't very high tech, just plug and play. Easy and reliable. I haven't seen the 24-port switch before, but it is probably just the same as the 16-port only a different company makes it.