Hi Victoria
Welcome to the forum.
I will be very interested to see how your semps do over the winter. I think if they are under some snow they should be fine even @ -30 C. My sister grows beautiful lilies in Gunn (north of Edmonton).
You don't have to cut the babies off. You can just give it a little tug and the stem should detach from the mother. Some semps grow a few roots on the stem but most of the roots grow from the bottom of the rosette. If you just press the rosette,gently onto a free draining soil mix, it will root all by itself. Greg's advice about keeping at least some of the stem and sticking it into the soil is what I do as well. It helps stablize the chick till it roots in. I see there is a tag in your pot.
Does your Semp have a name?