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If you want lower end stuff, look at MAC filtering.
Higher end stuff you will want to look into port security, ACLs, VLANs, etc.
So you've heard of ACLs and port security but not MAC filtering in lower end soho equipment to do what you want to do? hmm.....
IMO I wouldnt use MAC filtering, its easy to bypass and hack.
I would do as you seem to have intended segment by 'port' on the router.
Place a segment of machines on the 'port' / VLAN / network segment of your choosing then place an ACL (firewall rule) on that segment/VLAN of no internet access.