There was a thread not so long ago where someone posted that, in their experience as a debt advisor, they were seeing a lot of decent earners with a lot of debt.
Quite often, it's down to years of a relatively small amount of overspending and repeated consolidation so paying interest on interest. The debt could have amounted from something fairly simple and seemingly benign such as one extra meal out a week that was not in the budget.
Plus the increased cost of living meaning that you have less disposable income. Has your mortgage gone up yet, or is that another bump in the road you need to deal with?
You say you can afford all the payments, which is good and it could well be that you can get out of debt with a bit of belt tightening, ie reduced spending on non essentials. See if you can do without most holidays/meals out etc for a year or two, except perhaps something quite modest, so you don't feel like you have no life. But that depends on your appetite for getting out of debt as fast as possible vs having a bit of a life - see what you can do free or very cheap - eg National Trust membership is £10 a month, which can give lots of cheap days out if you take a picnic rather than go in the cafe.
I second the recommendation for the MSE budget/debt advice. If you reduce all your expenses where possible (question the cost of everything like phones, broadband, food shopping etc etc) to free up as much as possible to throw towards your debts. Also if possible, transfer balances to 0% cards so payments go on reducing debt not interest.
Then pay down as much as you can. Concentrate on the highest interest charging ones first, but also try and pay above the minimum (even if just £1) as this removes a minimum payment market off your account, which improves your credit file and might allow you to qualify for better balance transfer offers.
Can you earn any more (overtime, second job, babysitting?)
Good luck, you'll get through it in no time
and come out better the other side due to learning how to budget and thinking about what you really value in terms of spending money.