A feature of the villages is that goods like meat last a LONG time without going bad. So, you could take your 200 cuts into a village and, essentially, store them IF you put them down. Strangely, the villagers pretty much ignore your goods.
So, if you don't have the cords needed to dry/smoke the meat, you could roast it all and leave it in a village building and/or trade it (it can be more valuable when prepared). Also, villages have smokehouses and dwellings with fireplaces in which you can start a fire and smoke the meat (if you have cords) and leave it there until it has finished the process. It'll be there when you come back for it.
Drying the skin for leather actually limits its use. While villagers will still give something for it in trade, it's useless when dealing with Foreign Traders. Otoh, if you intend to make leather armor, you'll never find leather by trading so you'll have to make your own. While the process is not tricky, it is SO easy to get sidetracked and forget to check the hide's status. That's how your Fine skin gets reduced to a rotted skin. Making fur takes less time and, thus, makes it easier to keep track of the hide's condition, avoiding that disaster. As someone has already said, fur is superior to leather against some types of damage (which you can verify with Shift A).
When you're in a village you might trade a few pieces of prepared meat for cords and ropes. For my part, once I've made a good kill I'll trade with every villager that shows a cord in his inventory (F3) for a few bits of meat. Additionally, a clutch of decent javelins should trade for a rope, likewise, for loop snares.
You asked, "Should I tan it so that I can turn it into leather, should I cure it, or should I de-hair it?". IF you de-hair it, you can only make leather of it. If you cure it, all you've done is postpone the tanning process while adding several lengthy procedures to it.