Good idea, make sure you cut just above a node (where the leaves come from). Then with the cut stem, trim that so that the bottom cut is just below a node. The plant will root or shoot only from the node, and orphaned bits of stem above or below (we call them "snags") will decay. This is a Fuchsia, but the same applies for any stem plant.
You can take the leaves off of the cutting where they will be under the substrate, on the cut stem you should leave them all on. Don't pull the leaves off, this will create tissue damage. The best thing is to pinch them off with sharp nails or cut them off with nail scissors. If you pinch them off move your fingers up the stem, rather than tearing down.
All the leaves axils will have dormant axillary buds, normally their growth is suppressed by the hormones secreted by the terminal (apical) bud, once you've removed this, the buds aren't suppressed and they will sprout. Most plants only have buds in the leaf axils, so the new shoot will always come from these.
Potentially each node can grow both shoots and roots, we call these "single bud cuttings", but the danger is that smaller propagules have less biomass, and larger cut surfaces, so need really good growing conditions to avoid rotting or just running out of stored food reserves before the new leaves have started photosynthesising. Three or 4 nodes per cutting is a lot safer (plants are actually "totipotent", meaning that you can grow a whole new plant from a single cell and people have done this to grow haploid plants (n) from pollen cells).
