Naps are a necessity. No, cats are not lazy; they need 12-16 hours of sleep daily. When I catch them napping, I must control the urge to awaken them by rubbing their bellies.
Belly rubs are optional. Speaking of rubbing bellies, a cat on his/her back with feet curled in the air is not an open invitation for a belly rub. If I choose to proceed with said belly rub, I must be prepared for a playful (and not so playful!) scratching of my hand.
If the paws fit, the cat fits. This includes shoes, boxes, etc.
Expensive toys are nice, but not necessary or necessarily appreciated. So, the stuffed furry mouse squeaks? Eh . . . who cares? A plastic milk ring is better. Or, better yet, a toy that belongs to the dog!
Cuddling occurs on their terms. I must refrain from placing kitties on my lap and expecting them to stay. When they want cuddles, they will come to me.
Food needs to be varied once in awhile. Kitties get bored with the same type of food, and will go on hunger strikes.
Expect the litter box to be used immediately after cleaning. It's always best to take care of business in a clean box.
Cats don't ignore their owners. They don't always respond when called, but that is simply them refusing to be dominated.
This is what I've learned from my cats. I believe they've trained me well.