Unless you're still working on position and/or flexibility, don't get into the habit of pausing in the bottom of clean - you want to be training as rapid of a transition as possible (the bounce) because that will often be the difference between a successful and failed recovery. The snatch is a different story - because the weights will be well below what you can squat, the position is more awkward and the center of mass is higher, positional security is the priority. Spend as much time as you need following the receipt of the snatch to stabilize before recovering. Rushing to recover causes a lot of unnecessarily dropped lift.
RE getting the balls to get under it, like EC said, work drills that focus on just the part you're having trouble with and then reintegrate with the whole. Tall cleans/snatches and mid - high-hang cleans/snatches will force the third pull to be extremely aggressive and precise and quality repetition will develop confidence. For the snatch, heavy snatch balances will be a good addition.