Funnily enough, I dont know what a break booster looks like either,
And I have been a professional mechanic for over 40 years!
But yes, back to thread. I have come across this sort of thing before with failing wheel bearings.
(Warped disks would produce vibration on braking which might not happen with a wheel bearing issue)
Jack up each wheel, grasp at 6 and 12 o'clock, and see if you can wobble them.
A "Small" amount of movement (IE a mm or two) is acceptable (*Indeed, on older cars it is essential) but anything more than that and you have a problem.
(* this is one of the reasons why the MOT has been scrapped for "Classic" cars. The current MOT is very rule based and things, like hub end-float, that are essential on old type bearings would constitute a fail on a modern car. Tighten a taper roller bearing until there is no wobble/end float and the wheels will fall off! People have actually had major accidents after "Helpful" MOT garages tightened up "Loose" wheel bearings after a supposed MOT fail. This is why the new ruling for older cars came in)