Multiple Behaviour problems

Question
I have a 4yr old,spayed female poodle, that I got when she was already 1 yr old.  Since that time I have numerous problems with her, such as growling, biting, peeing and lack of peeing.

She seems to be submissive with me, always needs to be on me or in the same room with me. When my children or our other dog (yorkie, that I got after the poodle) come near me she will growl repeatedly. She has bitten my children when they try to pet her, at the groomers they have to use a muzzle on her, as she has bitten them on several occasions.
She is always excited when people or children are at the house, wants constant attention and petting also will constantly lick you, but if someone besides myself goes to pick her up she will squat and pee on the floor.

She never indicates wanting to go outside for her business, even first thing in the morning,  and when I call her to go out, either she will go with reluctance and I have to coax her, and or at other times run into her cage (only for when I am not at home). If I try to get her out of her cage, she will pee. At times when she goes out, and I know she needs to pee, she will poop then try to come back into the house with out peeing, I have to get her to go back on the lawn and then repeatedly say go pee, which at times she will just look at me and do nothing other times she will go, and this is after going without peeing for a long time so I know she has to go. I am lost at what to do with her.

Answer
Getting her to pee outside may be the easiest part.  Take it out on leash.  Walk around.  They can only walk and hold it so long.  When it finally has to go, lavish praise on it.  Watch for signs when she needs to go out.  It needs to go out the first thing in the morning, after eating, drinking, and sleeping. If it quits playing, and starts running around sniffing, it is looking for a place to go. Take it out quickly.

Urinating on being picked up is part of submissive urination.  You need to build the dog's confidence up. Start with obedience training. The key to most behavior problems is approaching things using the dog's natural instincts. Dogs see all the people and dogs in the household as a pack with each having their own rank in the pack and a top dog. Life is much easier if the 2 legged pack members outrank the 4 legged ones. You can learn to play the role of top dog by reading some books or going to a good obedience class. A good obedience class or book is about you being top dog, not about rewarding standard commands with a treat. As you praise the dog for following your commands, it will build its confidence.  It should help with the biting and growling too.

Play tug of war with the dog and lose. However at the end of the game, take the rope or toy and put it up, less the dog becomes confused about who is top dog. Ropes from the pets' store quickly turn to hazardous shreds. Ones I made lasted much better. Go to a hardware or home center that sells rope by the foot. Buy 2' of 3/4" poly rope. Melt the ends, and tie knots in it. Get them as tight as possible, put it in a vise and pound it with a hammer. Watch carefully, and be ready to discard when it comes apart.

Leaving her crate available any time she wants to retreat to it helps too.  

''Elevation for small puppies: Sit on the floor and gently put your hands around your pup's middle, below his front legs, and lift him up. He is facing you. Hold him for 15 seconds. Repeat until he no longer struggles. If he is past 10-12 weeks, lift his front feet off the ground, but don't pick him up.

Cradling for small puppies: Hold your puppy gently on his back, as you would cradle a small baby. If he struggles, hold him firmly until he quiets for 10-15 seconds. With larger pups, you can do this as your sit on the floor, with your pup between your legs.

Quiet lying down: Place your pup on the floor on his side, with all 4 legs pointing away from you. Use your hands on his neck/shoulder area and middle, to hold him in this position. When he is quiet, praise him. Lengthen the time that you keep him quietly in this position. When he accepts this position well, handle his paws and muzzle, while keeping him quiet.''

The quotes mean this isn't my original work. It is copied from my Puppy Raising Manual. I have long used these or minor variations of them, and they are very effective. You may want to give him a belly rub while he is on his back too. Helps bonding. There is a big difference between him rolling over and demanding a belly rub, and you choosing a time to roll him over and rub his belly. The latter cements your place as pack leader.