Managing My Savings & The Best Accounts

I’m 19 years old and currently working full time in my gap year before going to university in September.
Working full time has given me the chance to save quite a lot of money, however I am still using the same NatWest bank account that I opened when I was 11 years old.
Some of you may be screaming because this is probably the worst thing to maximise my savings - I think the interest rate is terrible.
I want to maximise my savings I just don’t know the best way to do it.
I have considered having a current account with a decent interest rate for my income to be paid into, and then a savings account to save some money every month, however these usually have a limit and I want to save £500 a month, with an initial deposit of £4500 which I’ve already saved.
Because of this, I am now thinking about opening a current account for my income to be paid into, a savings account where I save the maximum amount each month and then a separate current account where I transfer a proportion of the money that I earn each month as ‘spending money’.
I would be grateful if anyone could let me know if they think this is my best option, if they have any other suggestions, and which bank accounts they think I would benefit from the most.

Thanks a lot ! This has really been stressing me out recently, as having my savings and spending money in the same account has made it hard to keep track of what I ‘can’ and ‘can’t’ spend.