One thing I would recommend to avoid rot is sterilizing the pot and soil beforehand. I usually spray the pot and saucer down with a bleach bathroom cleaner, then let them sit for an hour or two, then rinse well. The soil can be sterilized in an oven but I like the microwave, using a low power setting over a longer time. It will cook more evenly if you do it that way, also if you start with the soil thoroughly moist.
Karen, the easiest succulents to grow from seed tend to be the ones with big seeds. Not Faucaria or most ice plants I suspect. The agaves and aloes tend to become independent pretty fast. So maybe that would be a good place to start.