It sounds like the level of debt that you have is unsustainable. If you have to move out and start paying rent, utilities, food, etc. then the problem is only going to compound. What you don't want to do is bury your head in the sand and hope that everything will be okay, because that's the road to despair. You need to take control of this situation.
The first thing you should do (today!) is to get in touch with your local CAB, explain your situation to them, and that should hopefully get you on the path to getting the debt sorted out. It won't be easy, and may very well result in you having to take an IVA or even declare bankruptcy, but if you want to make something of your future, you need to get those crippling debts gone. I know you're against writing off your debts -- which shows that you're taking responsibility for your actions -- but rest assured that whatever course of action you take to eliminate the debt, it won't be easy. If you have an IVA or bankruptcy on file, you'll find it very hard to get credit from anywhere reputable for a while (so don't plan on getting a mortgage or a loan), and you'll still have to pay back some of what you owe. You won't be able to afford many luxuries, and you'll have someone scrutinising your financial affairs. On the plus side, you won't be able to take credit out for your dad again, even in a moment of weakness.
The reason you need to do this now is that the CAB should be able to help you put a short-term plan in place to manage the debt, which will include prioritising your creditors, creating a budget, and arranging a payment schedule with your creditors that allows you to house and feed yourself while still servicing the debt to some level. [Note that this means you'll be underpaying and further interest will accrue, meaning that it isn't a sustainable strategy in the long-term; if you can't afford to service your debt and maintain a standard of living, you'll have to take steps to write off some of the debt].
