You probably won't get one if you already have a SH2 unless you upgrade or recontract , and even then that's not a given.
Yes the EE smart hub is totally compatible and literally plug and play.
The quickest way to get your hands on one is from Ebay where they're currently available for around £75.
Given that the BT SH3's internals are exactly the same as the equivalent EE router I personally would go for the EE smart router which is around £20 on Ebay
Thank you there seems to be several different numbers on ee hubs just being amateur with tech which is recommended again thanks for your quick response
You need the Smart hub 6 plus.
Or the next level wifi 7 Smart hub 7 plus
Both readily available on ebay
And if like me you have complete wifi you will need new extenders too I believe.