Congrats! Can only imagine how the 125i is like, I have the 116i and I'm quite impressed of the power in the (used to be) entry 1-series model!
The chassis is perfectly balanced - this was confirmed when driving a lot on snow in the christmas holiday. The DSC also works perfectly under such conditions, and the DTC allows much fun!
In fact - my girlfriend said it was better to drive and more balanced on slippery conditions (snow and ice) than her parents' E91 318d. The DSC also worked better on our F20, to prevent unwanted spinning and drifting.