Booch007,
Great answer about moving! I am sorry your experience was not the best with PT. You sound like a good self therapist.
As to core muscles - I like to think of core muscles as those in your belly, butt, front of the thighs and back of the thighs. One of the first exercises to do for your core is what is called an isometric - tightening the muscle without moving the joint. You have control over the position of your body, your amount of effort and muscle contraction.
These exercises can be done 5 seconds 5 to 10 times. For your abdominals I usually have you buzz like a bee. It can seem a little silly but you will feel your belly working. Your spine should be in a neutral position, laying down, knees bent and feet on the bed. Next is tightening your butt and front of thighs by laying with your knees supported by a pillow and pushing your knees into the pillow. Again, gently. Last is the back of your thigh. Laying down with your knee slightly bent, is is pushing your heel into the bed as if you are trying to take off your shoe.
Again, you should not have any increase pain during or after the exercise. You may want to check with your doctor first before exercise. Please warm up before - 3-5 minutes of walking in the house can warm you up.
Dana