Connect to loyalty retention department (or something like that).
Based on my experience, my rate went up by $30-$40 due to some expiring bundle rates early this year .. I called them right away and connected to their loyalty retention dept. The rep started to ask me question on what i watch etc etc.. I was not in the mood to chat so i just insist keep everything the same and give me the best rate (we have had Cox for the last 10 years or so). After a long pause and bunch of keyboard click, she told me I already have the best bundle they have and nothing she can do. I threatened to move to uverse (and I have a rate quote for uverse at hand showing they are cheaper for the same services), she said sorry she can't do anything. I ask to speak to supervisor, she said she is it and I have the best rates.
About a month later, I called again and connected to the loyalty retention department again. THis time, I was not really busy so I played along with the rep question on what channel I watch etc etc and she made a bunch of suggestion to save money by removing this/that. I just played along and chat .. In the end, after maybe 15 min or so, she was able to find a bundled pricing for 12 month no contract and total was actually slightly lower than my old rates before the increase while keeping everything else exactly the same. Now if that is just coincidence that they have a new bundle rates that did not exist before or if I just got lucky with the representative that she is more diligent in looking for deals -- I dont really know.