The Hyaluronic Acid in the Ordinary range is absolutely fantastic, and definitely something I'd highly recommend looking into for winter - I definitely find I need to boost my hydration levels in winter, and that is a great product for doing so.
Another one that I find great is the Buffet:
It's quite a hydrating serum (with extra Hyaluronic Acid to boot), but it's also got a peptide complex, so if you're looking to start with some more anti-ageing products this is a great way to do it. It gives you that extra hydration while still helping to prevent loss of firmness and elasticity in the skin.
Of course, Retinols are also a great thing to introduce to an anti ageing routine, and this one is gentle but still quite effective on the skin:
For reducing fine lines and brightening the skin, it really is wonderful. I'd suggest using this once or twice a week while your skin adjusts, then increasing usage (and using it only at night) to every second night.
I hope this helps!