Hi RBM, and welcome to chaos!!!
It takes a while to navigate this site, but well worth persevering.
Six-and-a-half thousand members don't always have the same opinions, which is part of what makes this place so great, but I sense it's not helping you right now. All I can do is put forward my suggestion, as others will undoubtedly do, and trust you can pick the best course to suit your needs (suit!!! ah, well)
The external shine is nice but not highly important.
Protecting your investment is a priority.
Being able to put the damn thing on comfortably is importamt.
Okay ... simplest thing is talcum powder - unscented - any brand.
Zip it up, lay it down, puff it through the cuffs, grab the cuffs and neck and jiggle the whole thing about. Hey presto! Ready-to-wear.
A damp cloth will soon restore the manufacturer's sheen.
Later ... remove carefully and wash using mild liquid soap (baby products are usually favourite). Hang to dry - inside and out, then talc the inside again - ready for action .
Store in a cool, dry, dark place. Try to protect fom UV and excessive moisture (bathroom windowsill NOT ideal). Store on a hanger if possible.
You may find the outside of the latex will stick to itself. It does that. That's where a polish might help.
Polish. When new, the outer surface of a suit (the 'top-side' of latex sheeting) has a nice sheen to it. When washed, it can become self-sticky.
Silicones can give a high gloss finish. The cat hairs will stick to it, along with any other fluff n stuff. Silicones are extremely difficult to wash off (some would say 'impossible'). This means that each new treatment builds up on the previous (at a molecular level), and can produce a sticky surface (what we were trying to get away from, yes???). Also this immovable layer makes future repairs very dodgy, as the surface must be spotless. Water-based polishes wash off. They do not give the same ultra-gloss. Your call.
Of course, you can forget ALL the above (except storage advice) if you wash your suit in a mixture of hydrochloric acid and bleach - once only - and you will enjoy non-sticky latex forever!
Have a look here: http://www.rubberist.net/forums/showthread.php?t=1784 In practice it's not nearly as arduous as it seems - as many members will attest to.
Finally, that natural sheen on a new catsuit will eventually begin to dull on the knees, elbows, butt, crotch etc as wear occurs. There is NO way of restoring that sheen, other than masking it under layers of immovable silicones.
Hope that's of some help. Others will doubtless comment too. Good luck, and let us know how you get on.