I laid up my MGs for many years without too much trouble. Either lift the tyres off the ground or use those tyre keeps, they don't cost much and will help to prevent flat spots.
I would use fuel stabiliser. Interestingly the only time I had trouble with my MGB was when the tank was nearly empty, and the fuel really went off in a big way. After that I always left it with plenty in the tank. Its another example of the brake fluid in a sealed container. If the petrol tank is full, there's far less air for it to react with. Well that's my theory anyway.
I had a clutch stick just once, but managed to free it off. Some say that you should hold the pedal down with a pole.
If its auto it doesn't matter!
I never lay the Mogs up. Life's too short, and I particularly like to get out in the red one on Christmas Eve. I've managed that on half the Christmas Eves since 2008.