I happen to have a reasonable amount of professional experience in plant propagation.

Here’s the thing, there are many general principles that work, but every plant is different in ways that make it confusing for a beginner.

So if you want to start out gently pick a specific plant that you want to propagate. Learn how to divide it and make that particular species grow. There are general principles you can learn that will allow you to expand to other types of plants.

The field of plant tissue culture is accessible to a dedicated home hobbyist as well. There is a learning curve and you need to be comfortable with laboratory type work.

Or you can break off a bit and stick it in moist dirt. Plant propagation runs the gamut from dead simple to difficult. So begin by focusing on one single kind of plant that you want more of.

My two cents.

if the lab side of it interests you, these folks have good videos