Hi Beerbottles, and welcome to SR.
I can't tell you if you're an alcoholic - only you can decide for yourself whether or not alcohol is negatively impacting your life. You say that you feel terribly guilty for your drinking behaviour and that sounds like reason enough to stop drinking. But in my humble opinion, if you're lying to your family and hiding booze from them, you've crossed a line from normal drinking into something else.
The obvious answer for anyone is stop behaviour that is destructive for them and their family. Can you stop your binge drinking?
I was also a binger. I didn't get sober with AA but I saw an addiction counsellor regularly. There are many resources out there, and there are many members here who will likely chime in with recommendations.