I currently have a 4.10 conventional rear end. Can I use a locking diff, or does it have to be replaced by a conventional one?
First, when you say locking diff, I'm assuming you mean the factory liimited slip ("posi") rear, which is not a true locking diff.
If you are talking about swapping the whole rear, with a replacement; no problem with that, as long as the gear ratio is the same (4.10).
You can also swap the carrier or "pig" as some call it with one with a limited slip. However, used ring gears and pinions should stya together, and not mix-and-match. So, you'll either need to use swap the pinion gear with the one from the donor vehicle, or swap your ring gear onto the replacement carrier.
Unless you're pinion is coming out anyway, for bearings,etc..., it will be MUCH easier to swap ring gears. This will also keep you pretty close on setup, such as backlash, and your gear tooth pattern, since you wouldn't be changing your actual gears. However, every carrier could be cast/machined sightly different, so you may still need to "setup" the whole deal to make it right.