For me it really depends; Generally the first thing done is Blue Cheese, and I use my Jeweler's Eye to check the resin coloration, and decide on which branches of which plants are getting chopped first, and then I cut those off, trim them, hang them, and then I feel them to see how far they are in terms of "dry enough". Once they have reached a level of dry enough, I stick them in Jars, and then cure them. I generally continue burping the jars even after they're done as I've had plenty of jars end up getting wet all over again, so I keep checking them after a few months just to make sure they aren't going to end up moldy, and once they're actually dry enough again, I put them aside for the rest.
As that is happening, other strains start getting ready to be pulled too, and depending on which strain it is, I either chop and hang branches (we use those hangers that have about 10 clips on them so they can hold 10 branches each) and if it's Motor Breath or Hawaiian Sunshine, some of those branches get hung up while they still have sugar leaves on them and just the shade leaves are taken off, as both of those strains are too sticky to trim wet, so I wait to do that until they're dry a bit. Once they're trimmed dry, the buds can be checked too to see if they're ready to be cured, or if they need to hang longer for that.
If I've got time, I do it branch by branch so that each branch is as close to the color I want, but sometimes that's not really feasible because I end up with multiple hangers of branches of different strains with little notes of what each strain is on them so they don't get mixed up, and any buds that are snipped off from trimming generally end up in the "House Blend" jar depending on if I know which branch it came from LOL.
This year we did have Grove Bags, so some of the plants went in those, and then Chem D and most of the Blue Cheese went to jars only.