I suggest that you leave them in the pots. Even though the original tops have almost died off they may continue to grow or a new shoot(s) should be coming out of the tuber since the old one is not growing correctly. Give them sun & water and let them grow during the rest of your growing season.

When your dormant season arrives cut off the sun & water and let them go dormant in the pots. They will be just fine since you have such mild weather.

I do the same thing with a number of pots I grow above ground. When frost takes the tops I just move them into the cool side of my basement (garage) for the winter. I don't have to fool with trying to divide and store them for the winter out of the pots. When I am ready to start cuttings in Jan/Feb I just move the pots I want to take cuttings from into the warm side of my basement, add water & light and another season begins.

Hope that helps.