Unless you are on a balcony, sink the pots into the ground. This will protect them from the freeze thaws of winter, which are the big problem for overwintering plants. People with balcony plants can give you more info if you need that.

The pineapple mint is more tender than the chives, but I have had mine in the ground for three years in zone 5 and it has done fine. I just let them die down, you need to leave some leaves to get the last bit of energy from the sun before the leaves are killed by frost. I would wait til spring to divide.

I had chives in the ground in Wisconsin. They always survived the winter. I'm not sure about the mint, but most are ususally hardy.

There is no way to kill chives that I know of! I dug some up six years ago when I moved and put them into a pot on the patio at my new condo. I've ignored them in winter, and they keep coming back each spring. I did, out of sympathy for their tenacity, cut half the root ball off this year and replenish the soil, but I don't think they noticed. Wouldn't it be nice if all of life were this simple!

I've had mixed success overwintering pots on a balcony, or in an asphalt courtyard. Some protection from bitter winter winds helps. Perhaps move the pots near the house, or put them (pot and all) inside a larger container and stuff leaves or straw between and above. The idea is to moderate the freeze-and-thaw cycle that can turn roots to mush.