I slide mine down the eye, carefully in a mirror with clean hands, until it wrinkles a bit. Can then pinch and pull it out super easily.
The “normal” pinch & pull straight from the eye as recommended never works for me – always feels like I’m gonna pull my cornea off!
Weirdly I always struggle putting my left contact in, but never the right one. If I do it first or second it doesn’t matter, it always ends up stuck to my finger a few times, then I get a bit of fluff on it and it hurts like hell putting it back in, requiring a rinse and re-start. Right hand side one goes in straight away.