Forget about YNAB. Does nothing you can't do yourself for free and it sounds like a lot of work.
I would have all your income go into one account, but don't actually spend from that account.
Work out all the cost of all your direct debits, and set up a monthly standing order from your 'income' account to a separate account that is only used to pay your bills account. Maybe add a small buffer (or you could apply for an authorised overdraft that you don't use, but is there solely to stop any DDs bouncing if something goes wrong). Then you know your bills are all covered.
Designate another account as your 'essential spending account' so groceries, travel, anything else that you need to buy. Set up another standing order from your income account - either weekly or monthly, and use this account to buy these things. Then you know you have £X per week/month for groceries etc.
Other things you'll want to do with your money will be things like clothes and other essentials for DDs, savings for holidays, Christmas etc and your personal spending money.
So you could set up more standing orders from the income account to a savings account for holidays, then the money will build up for these things.
Finally you need one or two to card accounts for family/personal spending money. These accounts are where the money you can spend on a 'when it's gone, it's gone' basis, but you will know that you have £y per week/month to spend.
Takes a bit of setting up, and obviously you'll need to work out how much to put in each account, but once you get on top of it, it will run itself and you'll only have to keep a watching eye on the accounts to make sure none are running out of money too fast, or have money building up where it's not needed. For savings accounts, obviously look for those which pay interest but you can often get instant access accounts from the same bank as your current account where you can move money back and forth instantly - one of these would be good with the same bank as your essential spending account so if you do book a holiday or buy DC clothes, you can transfer the money to your card account.
For spending you'll end up with two or three cards, either physical cards or in your phone and you can label these as essentials/family money/my money so you know which to use.