For taking them out, make sure you have your fingers on the sides on the lense and gently but firmly push your fingers together, it should bulge out and fold. Use your other hand to hold open the eye if you need to. If it irritates you, (though this might be what you were doing already) put your finger firmly in the middle of the lense and look to the opposite side (left eye, look right) so the lense ends up on the white of your eye, it won't irritate it as much then.
For clubbing, would you not be better wearing your glasses rather than wandering around blind? At the very least if you meet somebody you want to make sure they're not a monger.
If it really ends up being a problem you could splash out for the night and day ones so you don't have to take them out every single night, just until you get more used to them.