I know exactly what you mean. Plastics from the 60's and 70's degrade really bad. I have two ZX80's which are quite yellowed, and fragile.
Almost all whitish plastics from the 1970's and 80's would turn yellow and crack very fast. Almost as if it's drying out. I used to scrub yellowed calculators in the 70's and 80's to turn them white again, but the thin case of the ZX80 won't allow a lot of scrubbing.
Most important: Avoid light. Especially sunlight, but even fluorescent lights will be a problem. Sorry. Takes away from the joy of displaying your stuff.
Modern museum conservators have been looking into this, and there's some information at the Getty Museum's Getty Conservation Institute web pages here....
Long-term project to study wide range of plastics to understand how to prevent or slow down their degradation.
www.getty.edu
Even modern plastics tend to yellow and degrade, but many have additives to block UV light and help that. Even plexiglass or polycarbonate windows used in homes will degrade in the sun, so they always have to have a special coating to block the UV light. I've seen new items made on 3d printers, when white, yellow with only 10 minutes in the sunlight, so some people spray paint their 3d print models3d resin printers so they can stand the outdoors a bit better.
I'm not sure if you want to try this, but if you look here...
this fellow on YouTube is using a product called "Salon Care 40" which turns the yellowed plastic white again, "with the help of UV light" which seems counter-intuitive. But after it's done, he still uses a UV blocking film to prevent future yellowing. I would not recommend this mystery "Salon Care 40" on a Sinclair ZX80 case, as the case is so thin, I worry it will worsen the brittling and cracking, but it's interesting.
There's a lot of information on the internet with using "magic eraser" or "lemon juice" or "a paste of baking soda" but since collectors of vintage computers don't just care about the white color, we also want the plastic to last forever, I doubt any of these things would be considered "museum safe."
- Thomas.