Hi Louisa236,
You are able to keep your job, you will no longer be taxable on it in the UK, as you will be tax resident in the Netherlands, under that tax treaty that exists
between the two countries (
Tax treaties).
Please submit a P85 to HMRC by sending a completed online form at
Get your Income Tax right if you're leaving the UK (P85).
You will need to report this 'foreign' employment income to the Dutch tax authorities.
Thank you.