I am still new to trying to shoot high quality videos from my P4P and be able to edit them. Can someone tell me the secret to NOT having the video be shaky? Is there a setting to correct this or a editing trick to smooth out the video? Any and all advice would be appreciated. I am trying to edit in Adobe Premier Rush.

If you want help, then it is a good idea to post some examples so we can see how your footage looks. Either post to YouTube, or put them up on a file sharing site like Dropbox. Once we can what you have, then we can offer advice.