In my experience, docking and departing are where most mishaps happen. So I heartily recommend that you take a couple of days to practice docking.
IMO, one of the most valuable tool for single-handed docking and leaving is a spring line. A spring line can control the boat when you leave or approach the dock so that you never need to jump onto a dock, or use muscle power to prevent crashing into the dock or another boat. There are Lots of different ways to use spring lines, depending on whether you're docking in a cross wind, onto a side tie or into a slip, etc.
Google "docking with a spring line" for lots of videos.
I almost always use a spring line or bridle from the midship going aft to a cleat on the dock(when coming into a dock in forward). As you approach the dock, you slow down to an idle or stop within 5 feet- 8 feet of a dock cleat towards the aft end of the berth, and then throw the line over and around the cleat.
I do a variation of that technique when I come into an unfamiliar dock. Instead of using a spring line with a loop, I rig up a bridle going from midships aft to a cockpit winch. I fix one end and loosely wrap the other end around a winch, then back towards helm and my outboard controls. That way I can shorten or lengthen the doubled spring line as I come into the dock, by adjusting the length of the spring line.
Another thing I do differently is that I don't "drop the loop around a cleat", per se. I throw a bunch of line onto the dock, over the cleat, with a tail on each side of the cleat. As the boat moves and the line gets taut, it catches itself around the cleat.
ON EDIT: I found a link to a video that shows what shows how to use an adjustable bridle to spring onto a dock.