Living in England: changing citizenship status to Irish with UK gov
I'm an Australian citizen living in England on a postgraduate student visa. I have received my Irish FBR and my Irish passport is in the post (hooray!).
I'm wondering what the next steps are practically for me to change my Australian nationality status/postgraduate visa so that the UK govt is aware my citizenship status has changed.
I'm wondering if this happens automatically or if I have to do it online somehow? Equally, do I need to update my National Insurance Number and NHS details etc now I am a citizen?
I've looked online but can't see any clear information as to next steps, only that Irish citizens are eligible for long-term residence and work without a visa.
Thank you!