skin's gone all weird since the weather changed

Right so my face has basically staged a protest since September. It was fine all summer and now it's tight and a bit flaky round the nose and I don't know what I've done differently tbh. My daughter says I need to swap my moisturiser for something heavier for autumn but honestly I didn't even know that was a thing. I just assumed you used the same stuff all year. Apparently not. I've started drinking more water which I know sounds obvious but I genuinely wasn't drinking enough, like proper embarrassingly little. That seems to have helped a bit. Skin doesn't feel as papery in the mornings now. Anyone else find the change in seasons just wrecks their skin for a few weeks? Or is it just me being rubbish at this.