My hands are almost always cold in the winter here (NE Ohio) and I've found a couple of things that help with that while still letting me get work done.

Fingerless mittens are one option, and while they don't cover your actual fingers, just warming your hands up helps a lot. I can still type and use a trackpad just fine with them.

If you don't need to use a touch-sensitive device with them, the really thin, lightweight gloves that are meant to be a layer underneath a heavier pair actually work great. I can work in them as normal and only give up a little bit of my normal typing speed; not enough to be a hindrance when doing software development since typing speed isn't the bottleneck anyway.

Doing something that requires moving them. If you're furiously typing obscene code comments your fingers will be warm. If you're mindlessly clicking the "approve" button on the PRs your fingers will be cold.