If you have a good covered/screened porch, I would start by hanging your items out there during the day for a few days. You could also do some good for them by giving them a good run-over with the wand attachment on your vaccuum. This will get out the dust and skin cells (yes, they are in there, too) that cause some of the scent. Be careful with the vac over the fur, you might want to fluff and hold the fur with one hand and run the wand with the other, going over your fingers with the wand.
If the items are pre-40s, I would leave any more invasive cleaning to the next owner. If they are post 40s-newer, and they are highly desireable (ie high $ sellers) and you have a GOOD dry cleaner that you trust with older stuff, having them cleaned is certainly a boost to the overall image of the item.
Your dry cleaner can remove the collars on better made coats and have them re-attached at your request. They are usually held on with loop stitches.
For my website, I have things cleaned unless I know for sure the storage conditions of the last 50 years...like I took them out of the lady's closet from a protected garment bag and she told me she had them cleaned before they went in. Even then they get the air and fluff treatment.
It's up to you, what you want to invest, and what your personal storage coditions are. I'm allergic to mold and dust, so I have to be persnickity. I wouldn't want to bring a garment into my store room that might have moth eggs or mold spores on it. That could end up costing me more in Zyrtec and lost items than the initial $8-$15 cleaning bill.