I'm a garlic novice and am not "fluent" in garlic. I do know you have to choose varieties suited to your area to get good bulbs. There are also garlic varieties for the north and garlic varieties for the south due to winter hardiness.
I prefer garlic that form large cloves. In my garden, hardneck Music and leek cousin Elephant are the two varieties that have performed best so far. But I have to admit that I lost track of which harvested garlic are Elephant and which are Music so I'm going to have to tell them apart as they grow next year.
(You can tell them apart because Music will grow the curly, edible/delicious scapes while Elephant will grow straight scapes which can still be eaten but need to be harvested early.)
This fall for next year's harvest, I've planted smaller but still nice sized cloves that are probably Music, largest cloves which are definitely Elephant Garlic cloves, Elephant Garlic rounds*, and Elephant Garlic corms*
https://www.lsuagcenter.com/en/lawn_gard ... Garden.htm* Some bulbs will produce small, offset corms that will grow against the lower side of the bulb. These tough little nutlike corms will produce a plant that develops a solid (noncloving) bulb resembling an onion bulb. These solid bulbs may be used for cooking, but if replanted in the fall, the solid garlic bulbs will produce plants that should clove the next year.
I'm also trying three new-to-me varieties: turban Tzan, hardneck Russian Giant Marble Purple Stripe, and porcelain Georgian Crystal.
I've tried a couple of other varieties that have not done well. I don't quite remember their names right now, but will try to dig up my notes.