Hi and welcome, Elizabeth,
My new washer allows me to launder lots of my vintage (and many modern dry-clean only) items I used to handwash or dry-clean. I just did a test run on my own clothes, and wow! Fantastic results and $35+ saved. Just $1,965 more and they've paid for themselves. LOL. If you're in the market for a new set, look for the HE machines with no agitator and a "handwash" setting.
The new dryer has a "steam-fresh" setting which uses super-heated steam to sanitize and remove odors from non-washables. I've only tested it on stuffed animals and sofa pillows so far, but it should work well on hats and fabric purses.
Everyone has a favorite stain-remover. Mine is Vintage Textile Soak (available online, inexpensive, and they'll send a free sample). It gets out brown spots in old linen and cotton. There is no way to remove those stains from silk :(.
My second go-to stain lifter is Murphy's Oil Soap (yes, the floor cleaner). Dip a clean, soft toothbrush into full-strength soap, rub stain gently, rinse, repeat. If stain is a bit lighter, repeat until it's gone (fyi, this stuff takes out dry-erase marker from clothing!).
For non-cleanables, I use Nicole's out-in-the-air fix, but I break the "no direct sunlight" rule and put anything that doesn't freshen up with a day of breezy shade and a morning of evaporating dew (pulls out the stink) into bright, direct sun.
I might have to invest in an ozonator machine (Katie, do you remember where you got yours and what brand is it?). Meanwhile, you can call a local mold abatement or water-damage repair company to see if they know of a local ozonator room. I know there's one here in Atlanta, but I've never used it. Expensive and far away.
I would recommend following Jonathan's (museum of fashion curator) advice for killing any larva/eggs hiding in woolen items. Place each in a ziploc bag and stick it in your freezer. Simple as that. Remove, thaw, repeat.
I've got to the point where I just don't (knowingly) buy anything stinky that I can't clean easily and cost-effectively. It's not worth it unless it's just too fabulous to leave behind.
p.s. I've got Langley's book and it's terrific. Somehow it hasn't stopped me annoying Barbara for help dating hats : ).