Do I have to buy a router/switch or can I just use a switch?

Here’s how I understand it:

If I buy an 8-port switch, I can just connect the Ethernet cable from the antenna to one of the ports on the switch. Then I plug in all the other PCs to the other ports.
When a new PC is plugged in, it will just send a DHCP request to the antenna equipment (which I understand has DHCP services), and everyone will have an IP address provided by the antenna’s DHCP address pool.

That’s how I see it. Do you think it will work that way?
What else can you suggest?