Honestly - they are in it for what they can get out of it, not for what you can. Your best bet is to try and deal directly with them, come to them with your proposal and negotiate with them (I'd suggest perhaps not telling them the full amount available to you to start with to give you the power of negotiating up). It is not likely enough to clear the whole lot. It is better to try though - and even if you can't achieve that, paying off some of your cc debt will help you considerably.
More fundamentally it would seem to me that you are hard-pressed to afford your mortgage as it stands - even if you were debt free you would be living on €50 pw, including all food, transport, insurance, etc costs. It isn't a whole lot. I am going to guess you don't plan to do that for the long term so how do you think you will approach increasing your available income for living? Have you considered selling your house?