Pogies are, indeed, the answer. Anything else is just skimming the surface.
I have some Sealskinz (not the Dragon Eye). They’re pretty good. A bit bulky but still OK for grip and control.
Endura Dexters last about 3 years sesonal appearances before they start wearing through on the fingers.
Aldi gloves are thin and barely warm enough for even a mild Winters day.
Neoprene works well but needs to be a tight fit which can feel a bit odd. My worst experience with those is bivvying out sub-zero and putting them on in the morning.. As they tend to stay damp for a while it was like putting my hand in a block of ice.