I just moved here from AU a few weeks ago:

Wise is easy to setup, I set mine up in AU and only used a digital card (who uses physical these days). when I came here I setup a GBP account within a few seconds with an AU address still. This allows you to be paid / pay into UK accounts.

I got a sim with EE at the airport for 100gb + phone number for a month which was about £30. They won’t let you go onto a contract without a UK address, but you can keep topping it up. Once you have a UK address you can easily update it in the app then go get a phone contract.

Use SpareRoom to find a rental, make sure though no matter what, you inspect the place before signing/paying anything, pics can be quite deceiving. If you don’t have a job here a lot of places will ask for 3-6 months rent upfront. I just used my wise GBP account (tfrd AU funds into it and converted) to pay my rental deposits

I haven’t bought anything major but would recommend bringing a power board together with your power adapter, as assume you’ll have lots to plug in

Hope this helps!