Video editing is the parallel universe to audio work-- there are a bunch of programs out there to choose from at a variety of price points. You tend to get what you pay for: free programs have far fewer features and are much more limited in terms of what they can do, whereas if you spend a bit of cash you get far more capability.
I've used several approaches (the DAW I use, Mixcraft, even has limited video editing built in), and actually my experience in that area was helpful when I started doing home recording, because there is a similarity to workflow-- a timeline/piano-roll sort of deal onto which you drop segments, modify their properties, and stitch together with transitions.
Windows had a native app for this some years ago, Windows Movie Maker, but they stopped supporting it a few years ago. But you might be able to find it on the webs. I've also used Pinnacle Studio Plus, which is excellent, but in recent years it was bought out by Avid (the ProTools folks), and I know some folks really dislike that company. But it's a very solid program.
Just google up "best video editing software" and go from there, you'll get a TON of hits. Good luck!