W126 83 300SD sidestepping in turns

[sixto]

My 83 300SD seems to switch tracks when the transmission shifts in a turn. Say I start a turn from a stop and the transmission shifts from first to second, the rear end steps out when the tansmission shifts. There's some oversteer but nothing drastic. What should I check? Is this something replacing the rear subframe bushings will fix?

Thanks,
Sixto
91 300SE
87 300SDL
83 300SD