I tend to wear my kilts with a button-up shirt, usually short sleeved, and an optional wool sweater. The sweater is always and only wool - I can't be doing with fake sweaters as they aren't comfortable.
Hose vary from thick kilt hose in winter, through knee high socks, both ribbed and flat knit, to minimal socks when it's warm.

I like my 4yd 13oz wool kilts for their sheer style and colours, but I wear them sparingly.

I have several 4/5yd polyviscose kilts that look great.

And I have a couple of Sportkilt Hiking Kilts with velcro fastening, and which are made of some printed microfibre material. They are very lightweight, and drip dry perfectly after you get them wet: go swimming, rinse in the shower, hang on the washing line and bingo, it's back to perfect. I don't have the optional straps or pockets on them. I think that would look a little mad on something so obviously plasticky.

It all depends on the weather, which can be any season on any day here in England.