Stockings are acceptable to wear all year round. Any kind of lingerie is acceptable to wear all year round if you feel like wearing it.
I don’t wear suspender belts that come as part of lingerie sets because they’re usually very flimsy. If you’re interested in how to wear/buy a garter belt, I’d check the archives of my main blog. We’ve got quite a few blog posts on that topic in the FAQ: thelingerieaddict.com