Look, hundreds of people have been in this situation just like you. It's unfortunate, and you need to address your lifestyle choices in the past in order to dig out of debt now and not get in this mess again in the future.
But you can almost certainly get it sorted.
You do though need to be totally honest with yourselves. If you have been in the habit of paying for things on credit "because it's affordable" rather than saving up for things e.g. wedding, IVF, consumer goods (drones/cameras), eating out a lot and not following a JOINT budget then of course you are in a bit of a mess and you will need to radically readjust your expectations and your mindset.
You can't "buy now pay later" any more. That's become clear to you - but really it should have been clear 7+ years ago when you took out the wedding loan, consolidated to a £14K loan, took on 2 car payments etc.
You have been looking at the monthly payments not the big picture.
You need a radical rethink of how you manage your finances as a couple, and then you need to plan. Don't react in panic here and stress your credit file with applying for stuff before you have the whole budget sorted. A realistic budget with a bit of wiggle room.
List EVERYTHING you both spend in a month, and things you spend on infrequently that need saving up for. You're not using credit for anything any longer.
Then list ALL your debts (his and yours).
List all the APRs.
What can you afford to pay?
Can you transfer anything onto 0% cards? Would a couple of consolidation loans (splitting the debt between you) be better?
Do none of this until you have accepted that you just can't use credit any longer. Both you and your DH are like a problem drinkers - you need to go cold turkey for a while to reset your baseline, because you clearly can't hand juggling credit.