Plastic skis are best for a set track or for skating on groomed. Wooden skis work best on trails not groomed or for breaking trail in fresh powder. You can still get Swiss Army surplus skis that are polymer with metal edges. These might be the best all purpose skis if you live in the mountains The Tur Langrenns you have actually are fast in a groomed track, but you have to get rid of the 3 pin bindings that grind into the track & slow you down.
SNS bindings line up into the 3 pin holes.
Buy a decent pair of SNS boots that fit.
Stay away from SNS pilot (unless you want to do some races) or NNN BC. I prefer NNN (new nordic norm), but I still have a lot of Salomon boots & bindings I ski in because you can replace the 3 pins so easily.
If you choose to go with the NNN system, unscrew the 3 pin bindings and plug the holes with epoxy. You will have to remount the bindings. I have never had a ski break at the old binding holes. It has always been the tips or the tails.
NNN BC (BC is for back country) are heavy duty boots & bindings that will not accept NNN. I have a pair of Asnes Tour model with NNN BC that I use to tour in the mountains. The boots & bindings are sturdy enough to execute telemark turns and the wide Tour model skis can handle all types of conditions from powder to corn snow.
My wife & I have about 20 pair of wood skis between us, not to mention the couple dozen polymer racing skis.
Bonna, Lampinen, Splitkein, Eggen. They're all good, but Asnes are my favorites