Asexual propagation comes naturally to many succulents and they need little encouragement. Cuttings are usually easy to root.
Just remember that succulents by their very nature are skilled at water conservation so you don’t need to place a polythene bag or the like to keep them from wilting as they root. In fact doing so, or misting with water, may cause them to rot rather than help.
Take cuttings one or two inches long. You could remove a few bottom leaves to give a part you will plant later. But first leave the cuttings for a day or two on a window sill for the injured parts to dry up.
Now plant them in moist well-drained, sandy compost and in a few days they may well be rooting. When they start producing fresh leaves you know you have succeeded.
Some species will propagate from single leaves if the leaves are substantial enough in size. Some, like Bryophylum daigremonianum will produce off-sets, little plantlets, from the leaf edge with roots and ready to plant.
If you get seeds try germinating them. I once had great success doing that with cacti: I put moist blotting paper in a flat dish (I had access to Petri dishes) and placed the seeds on. I put on a clear lid, then floated the dish in my tropical fish tank giving them the benefits of warmth and light. As they germinated I would carefully tear the paper around them and lift each out on its raft to plant out in little pots. May need to keep humid for a day or two.