Hello, and welcome!
I know that this realisation is a horrible one, but finding acceptance and looking for help are huge, and well done for doing so. I know it's not easy.
Sadly this is something that won't leave you, addiction is for life, but it doesn't mean you have to go through with it. I can't say how is best for you to approach a program of recovery, but look around here, learn what you can, and if I am to give you some of my own advice, don't white knuckle it, or go it alone.
Sex Addicts Anonymous, a Twelve Step fellowship, is a safe place in which to heal yourself from sex addiction and harmful sexual behaviours
saauk.info
I'm not sure on your location, but I recommend SAA(they are worldwide, but this is the UK site), and looking at working the 12 Steps to find a good community, and also see that there is a way of going forward with hope. I have to say the 12 steps have changed who I am fundamentally, they've not made me sober, but they've helped me on the road of recovery and it's those things that we need to shift our mindset. If you need any more information just drop me a message.
I'd say a lot more but it's best to start exploring, lookng around and seeing what you feel works for you.
Just take it one day at a time, focus on today and not some "streak" or where you could be. Only one day at a time does the future come around. You needn't be one week, one month or one year sober today!
Peace be with you, and I hope some of this helps!