Canada started rolling out these new polymer bills 1-2 years ago, so I guess the OP is getting his transition blues. I land travel a lot to neighbors Canada and Mexico, who use polymer notes, and it was easy to get used to them coming from paper note USA:
Brand new bills tend to stick to each other, seems worse in less humid or warm climates like Canada. When I count them I crumple them in my fist between each thumbing of a bill during the count. The creases keep the bills from sticking.
They are great for water sports so one needn't leave your wallet off your person to potentially get stolen. US bills get limp and take a while to dry but polymer bills you can just wipe dry. I use a stainless money clip to hold them. After being wet, once dried, the bills stick much much less, particularly when exposed to salt water, the thin film of grime gives them some texture to stop the sticking. They also dry fast, just take the money clip and bang it on a towel, and a wad will be mostly dry.
Wet fingers make grasping polymer money easier.
Accidentally laundering them has the same effect. Just don't put them in the drier, then do melt or deform.
They are springy, so a wad of them resists being folded and creased. I use a money clip so I haven't had that issue, and once folded for a while they eventually hold their fold.