Why does a cat drool until they are quite wet on their chin
Not just a drool from excitement. Healthy cats don't typically drool (hypersalivate) like some dogs. They will drool however, This behavior in cats is left over from kittenhood, when they kneaded their mother's belly to help the milk flow. Some cats will actually knead and drool when they are petted. The kneading or marching means that the cat is happy.
There are a couple of reasons I can think why a cat would drool. One is that some cats drool when they are being petted...I am not sure exactly why, but it probably has something to do with stimulation of the autonomic nervous system (the bottom line is that drooling means they are very happy!).
Why does my cat knead me?
While the answer is not known for sure, kneading behavior is reminiscent of the kneading a kitten does while they are nursing. It is thought to be a comfort behavior and a sign of contentment. It is often thought that the relationship between owners and their cats is like that between the mother and her kittens.
Why does one of my cats insist that it drink water from the kitchen faucet, when I give them all fresh filtered water every day more than once if needed?
No water bowl will satisfy some cats. Some cats just prefer running water. There are manufacturers that sell pet fountains that constantly recycle water to keep the water fresh for those finicky cats. Some cats are fascinated with running water and may be playing in the water rather than drinking. Regardless of where they drink from, be sure to always provide fresh, clean water.
Why does my cat meow all the time?
Many cats are very vocal and will "talk" to their humans when they speak to them. In other situations cats will meow when they want something such as food, attention, to go outside etc. If you attend to them when they meow they learn that vocalization gets them attention. In other situations a cat will meow when they do not feel well. If you cat is persistently crying and does not want or need anything I would suggest a veterinary examination to rule out any medical problems.
My cat wakes me in the middle of the night constantly crying and wanting my attention or food.
If you get up to play with your cat or feed her, then her crying behavior has been rewarded. Make sure that you have met her social needs for play and activity on a daily basis well before bedtime. Avoid wild play right before bedtime, rather try to spend some quiet petting time so that she will be relaxed and ready to sleep. You might also try feeding her three small meals a day and see if that helps. Finally, you could try a timed feeder bowl that would open and feed her in the middle of the night.