There are really only three decisions: do you want it fast or easy, do you have outdoor space, and will you be composting food waste or garden waste. Everything below follows from those. Below: how types of composting works in practice, what it demands of you, and who it actually suits.
Method comparisons usually read like a catalogue. This one is ordered by how people actually choose: by constraint, not by curiosity. Most beginners are better served by the least glamorous option on the list.

Hot composting produces usable compost in four to eight weeks. It also requires you to accumulate a cubic metre of material and build the whole pile in one go, then turn it every few days. Cold composting takes six months to two years and asks almost nothing of you.
Neither is better. A hot pile suits someone with a garden generating waste in bulk; a cold heap suits someone adding a caddy of kitchen scraps twice a week. Most people who set out to hot compost end up cold composting, because life intervenes. That is a fine outcome.
A worm bin or a bokashi bucket, and be honest about which. A worm bin is livestock. It needs feeding, draining and occasional rescuing. Bokashi is a fermentation bucket that produces pickled food waste, not compost; something still has to bury it afterwards.
Composting 101 walks through building your first pile from scratch, siting, sizing, and what to do in the first month, so you can start with whichever method you land on. Free, 14 pages.
Independent sources worth reading alongside this page: EPA, Composting at Home · Cornell Waste Management Institute.