By credit card, it's quite useful for the reward points - I'm fairly sure it was MC and Visa only (no AMEX) last time I did it, though that may change with this new payment provider

Paying UK corporation tax can be done with a personal credit card.

Isn’t it illegal to pay a corporate entities tax with a personal card?

If it isnt it would be one hell if a headache with reimbursement and the accounting and reporting around it.

I imagine it is a bit of a headache, but it is an available option you can choose.

Has to be a personal debit (not credit) card - https://www.gov.uk/pay-corporation-tax/debit-or-credit-card