Much like photo equipment that can be offered as a "collection" (body, lenses, strap, meter, case, etc.) it usually sells much faster as individual pieces. It usually nets a greater sum in the end as well. So, I'm often baffled by sellers who simply insist on selling a "kit" and refuse to break it up to individual items.
As a seller, offering individual items obviously means more time and hassle. The issue then becomes; is it worth it? I suspect in most cases it is well worth it. That's my opinion anyway. Really, it seems being flexible is the key.
I think the approach described by kiss-o-matic (post above) is the way to go.
As an example, locally there is a craigslist seller who refuses to break up a group of Nikon items. He/she has a few lenses, an N70 body, a flash and some other bits. He/she doesn't know what some of the items are (called the ring flash a light meter). About 2 years ago, they took all their stuff to the local camera store (it was still in business then) and got an estimate range for selling value (all the items combined, but not necessarily sold as a lot). Seller places ad asking the high end of the estimate range. Received many offers for individual items, but refused to break up the group. Over time, the seller has reduced the asking price, but it remains unsold (on craigslist for well over 2 years now). I once politely explained that they would have easily made more money than their current asking price if they had sold individual lenses back when they had higher value (it has been more than 2 years). OK, this was a long-winded example, but the moral of the story: don't be afraid to sell individual items. It is likely to be to your advantage.
https://corvallis.craigslist.org/pho/6178217574.html