
So I’m a green house worker for 5+ years, what we would do is move it to a warmer location away from the draft of the windowsill, and then put it somewhere it can receive equal amounts of light throughout the course of the day. (Or you can just buy a grow light) We would also use rooting hormone, snip the stem, then dip the open wound part of the succulent into the hormone, and just stick it back into the soil.
For the winter months I prefer using a cheap greenhouse plastic pot bc the soil dries out at a more consistent rate since the water isn’t held by plastic like it is with clay. You don’t really need to replace the soil unless it’s gotten moldy or infested with something. I would say a 4-6inch pot is as standard fit for your succulent