Hi,
You will only pay the higher rate tax on the income above the 40% rate band. You can see information here:
Income Tax rates and Personal Allowances
The remainder of the tax will be at 20%.
If you take the bonus in April as the 1st month of the tax year you would only have 1 month of your personal allowance to set against the pay for the month. This would mean more tax would be due at the higher rate but any tax overpaid would be refunded over the remainder of the tax year.
Thank you.