MacBook – Why is the IP address to the MacBook Pro being zapped by another computer

This started two days ago and I can't decide if my MacBook is at fault, my router is at fault, or I have a hacker. My MBP will throw an error saying the IP address I've been using has been assigned to another machine and blah blah blah reset the router or contact my local admin. (Which is me; this is our home system.) I'll renew the DHCP license and the error immediately comes up again. Also happens if I am HARDWIRED to the router itself. (So if wi-if is on I get two errors simultaneously.) I tried changing my MAC address to something else, thinking it was a possibility the MAC address was being spoofed, but the problem continues. I have a linksys router and a cable modem.

We have three iPhone 4s's, two iPad 2's, and a Windows laptop or two (depending on whether he brings his work laptop home. We also have a few roku devices and two IP cameras (monitors for the kids' rooms). Oh, and the printer. I can see everything assigned to the router in the DHCP tables and never see the assignment of the old IP to another machine. I tried pulling out an older linksys router and the behavior has not changed. Security is WPA2 with a 16-char string that I have not yet changed. (My weak point; it's a pain to update those cameras.)

Any ideas? I'm not opposed to getting a new router if that's what it takes; I was prepping to do that later this morning anyway when stores open. But I'm afraid the new router will do the same thing.

Edited to add: yesterday I also tried powering down some of our iThings. When all phones and tablets were powered down the problem seemed to go away. But then it returned with a vengeance so I powered them back up so we'd be able to communicate with the rest of the world.