I'm not a person who is into detail, following instructions, or doing a perfect job, but in the absence of other answers, this is what I do:
Om the second half of the year, take cutting from the ends of branches. Cut just above a leaf axil (where the leaves hoin the stem) in order for the parent plant to re-shoot without leaving too much of a dead stem. Trim the cutting to just below a leaf axil - this is where the roots will come from. Remove all leaves except for one or two at the top - it the leaf at the top is big, chop it in half. You want about a postage-stamp area of leaf.
Insert the cutting about 2/3 deep into a pot of compost - preferably well drained (mix some sand in with it). Make sure the compost is good and moist. Put the entire pot and cutting into a plastic bag and tie the top, so the whole system is sealed. Next day, check the compost is still moist and re-seal. Then forget about it for several months.
I stopped using rooting hormone when I discovered it has a shelf life of only a year, I don't use enough to justify buying it fresh each year. Not using it hasn't made any difference to my success rate.
You can put several cuttings into the same pot. It's good now and again to remove any cutting that has obviously rotted. Don't even think of disturbing the cuttings until there are some good roots coming out of the base of the pot.
Take lots of cuttings. I probably get 30 - 50% success. If you want to practice, fuchsias and pelargoniums are easy, bay trees and rosemary are recent successes, I've done roses this way (my most recent rose cutting is now 15 feet into the trees). I've completely and consistently failed on wayfaring tree.