Can anyone advise me on this problem please.

Hi
First of all apologies if im posting in the wrong section.
And Im turning to this forum for any explanation as so difficult to explain to Audi and possibly get it resolved.
I have bought a used 4 months old S3.
The problem happens only once on a very very cold morning.
I reverse out of my drive onto a bit of a hill then I turn the wheel to go down the hill very slowly ad im a careful driver ( being as im in my 50s lol). So hard to explain but right hand side sounds like coming from underneath car kind of does like a " kangaroo" thing. Like an intermittent five point turn. Like its not turning smoothly. I dont like it as I feel it could poss skid in snow etc and I have to bypass a lampost. My last s3 did exact same- only one time only per day and always on a mega cold day upon first start . Sometimes both cars ( this new one has done it twice now) upon first reversing makes a split second bang at the front. Sorry really difficult to explain. Does anyone know what I mean?
Much appreciated any advice etc as i know its going to be hard for technician to find this fault.
Im getting to hate this car.

Thank you for reply - i have something to go on now.
But normal? O I dont like sound of that.
Its my mid life crisis car S3 and has been for 2 years.
**** yasen now folks - I darnt go beyond 60 mph on a dual carriageway and I wouldnt go on a motorway if my life depended on it

I ended up changing the low profile tyres which were Pirelli to Michelin cross climate in case there were snow etc.
Funnily enough although no snow this winter I have never had this problem again- ever not once.

I had no fear when I was younger speeding down that motorway at top speed lol. An accident shook me up so much (fatal and not my fault) i never been again on a motorway for 30 years and never will but I love my S3 cus its not completely wasted on me. Even as u know driving around suburban its a thrill n a dif experience to a lesser engine. I do break law sometimes lol- 40mph in a 30mph (not residential area tho). It suits me this car for my driving style. I hate silly dickheads that show off - or try to. End of day its not exactly something like a ferrari - just a cheap audi kind of sports car. I luv it.