Removing lockring/ cups off head tube on vintage BSA bike
Park HCW-11 wrench to remove/adjust the BB cups:

https://www.parktool.com/product/adjustable-cup-wrench-hcw-11

RT-1 to remove the headset cups:

https://www.parktool.com/product/head-cup-remover-rt-1

or just a long flat head screwdriver and hammer to gently tap them out.