EE support eSIM Quick Transfer so it is possible that you will be presented with the option to convert your physical SIM to an eSIM during set up (as long as you have inserted the physical SIM to the phone)
https://support.apple.com/en-gb/HT209096
Alternatively, you can very easily swap from SIM to eSIM via the My EE app. It will download the profile to your phone, but you will have to first have inserted the physical SIM to the phone because they send a confirmation text with code for verification before proceeding to the swap. Once complete, you can remove the physical SIM and throw away (I also destroyed mine).
There is the option to receive a QR from an EE Store or via post after requesting in telephone CS. But I don't see these options as convenient anymore.