Relocation overseas / tax implications

Hi there
I’m wondering if anyone has been in the same situation and am looking for advice;

I live in Australia and operate an eBay store from here but in two weeks I’ll be going to live in the UK for 6 months on a tourist visa.
I want to continue selling from my shop (it’s a vintage store) which means I’ll be sourcing my stock and selling from my UK residence.
I’m wondering what the implications might be, surrounding tax, and if I’m allowed to even do this in the first place.
I get that eBay allow you to operate your store from multiple locations but I want to know I’m operating my store and making money from it, legitimately, and not get into trouble.
If anyone can shed some light on this matter from their personal experience, I’d be grateful.

Thankyou,

Dani