There is nothing in the world that's as good at teaching you how to use the road than being on an underpowered 125. Learning how to make the bike work is the easy bit - it's the road craft that's the toughie. You will realise for a start just how much you miss or don't even look for in a car. Plus, on a 125, any overtaking manouvre has to be planned meticulously, which is good, because when you finally get a big bike that can overtake things easily, the 125 experience will be in the back of your mind and you'll be thinking about it a bit more.
So what I'm basically saying is, ride around on the 125 until you don't feel scared of it any more and then get a bigger one (once you've passed the relevant tests etc)