So this may be counter intuitive, but I use a hat instead of gloves for warmer hands while I worked in a cold office. I worked in the high 50s, because there was only an On or Off on the AC unit, lots of heat sources (old huge computers) had been removed, and the heat locations were unbalanced.
When I tried gloves, I had so many typos, literal fat fingers. I knit, and I was knitting at work (not working) one day, and put my finished hat on my head. I left it on when I started working and my hands were fine.
Don't ask me why it worked, I just know it worked (for me).