Steering shake and brake judder

[Cliff J]

My E46 is suffering with steering shake from approx 50mph, to much higher speeds, the faster I go, the worse it gets!
My brakes are also juddering through the steering wheel at all speeds from say 20mph and quite violently at much higher speeds.

I recently had my front control arm bushes (lollipops) replaced as they were knocking and it feels like the issue got worse from that point on.

Could this be a red herring though and actually be a warped disc, damaged tyre, bent alloy? Or do my symptoms not support that?

Any input appreciated.