Have a look at Moneysaving Expert
www.moneysavingexpert.com/loans/debt-help-plan/
While £10k debt with a £70k income sounds manageable, it depends on how much your other outgoings (mortgage, childcare? etc are) so the first thing you need to do is set out a workable budget that you can stick to while the debt is paid off.
If you still have a good credit rating, you should be able to transfer the balances to 0% deals so your payments go on reducing the debt, not interest. The danger when you're struggling to make the payments is that most of what you pay goes on interest and you can spend years making payments and make little progress.
If you reduce the interest and set up standing orders for a fixed payment above the current minimum, even by a few pounds, this can dramatically shorten the time it takes to pay the debt off.
The other thing to do is reduce your bills and spending where possible, which is easier said than done these days, but you might be able to identify savings to free up money, especially if you're honest about what are essentials and what are extras (eating out, bought lunches, activities etc).
You also say 'DH has managed to owe' so you need to approach this as a team and both of you put the efforts into sorting the problem, cutting back and seeking help to pay the debt off if necessary.