I also have a short season and have always started tubers early. I water, but only when the soil feels dry. I’m not sure how many plants you will have going, but I have had the best success when they are outside during the day (weather dependent). I tuck them into the garage at night. There’s no hardening off that way as they’re used to the elements. I think calico20hill has a rolling cart for this! It’s a lot of babysitting, but worth it.
I just use recycled 1 gallon nursery pots. I put about 2-3” of growing media in the bottom, place the tuber, then cover with another 2” growing media. When I plant them out, I cover a few more inches up the stem with soil, similar to planting a tomato.