I think some serious counselling is something you should definitely do before considering termination/adoption/keeping the babies. But if YOU think that road will be best after everything, then do what you feel is right for you. Youare ultimately the one who will be dealing with it all.

Get all of the facts about how life will be with yourself and two children first. Find out what you are entitled to from centrelink, housing ect, support off your ex husband and any other sort of support you can get. Could you go and live with/near your family for support again? Would they come to you to help support you, even for a little while? There are lots of options for you.

It will not be easy, any path you take. I'm sorry you have to go through such a difficult thing