Having Trouble changing the IP of my wireless network

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I am having lots of trouble trying to change the IP address of my wireless home network. I have a Linksys router setup, and my ISP (Cox Communications) uses DHCP and dynamic IP's. We have about 3 computers in the house that use this network.

I have tried using...

ip/release

and

ip/renew

That didn't do it though.

I logged directly into my Linksys router interface and see that the Client Release Time is set to 1 day. I bumped that down to 1 hour and unplugged my router for 2, but I still have the same IP as before. I also used the Clone MAC address and that didn't change anything.

Is it possible I did this part incorrectly and have to go ip/release, THEN unplug my router for past the Client Release Time, THEN go ip/renew? Or is it possible that my ISP has a different Client Release Time than my router and theirs is what matters?

My ISP seems to be flabbergasted that I would even ask them how to change my IP address, and they have been no help whatsoever.

Meanwhile, I am practically giving myself ulcers trying to figure this thing out.

Any help would be greatly appreciated!!!