My cacti look sick and depressed! Please help!?

Don't know what kind they are, but my grandmum had one from the first picture group that was nearly 1 foot across. Don't water most cactus in the winter at all or, if you do, only every 3 months and not much at a time. not good when the water runs out the bottom. Cacti store up water for the dry spells. It doesn't rain much in the desert. So when it does, they soak up what they can before it evaporates. Over watering will kill them quicker than anything else. But good cacti potting mix will give them the amount of nutrient that they require. They do not grow rapidly so don't expect them to get huge fast. I have 3 I started from seed 3 years ago, and they are barely 1 inch tall now. The yellowish one in the middle is a goner, the others look ok. I keep mine in a west window and they all show a bit of growth each year. Remember too, they are shallow rooted, so any water that runs out is wasted.