Expensive, but I really rate the Dissent 133 gloves. Different layers you can combine depending on the conditions. I cracked out the silk liner, mid layer and waterproof outer on Sat in -1C and it was great.
I'd use a fleece glove and the a windproof barrier mitt if you need. But keeping hands warm starts with keeping core and arms warm. Work from the chest out.
Expensive, but I really rate the Dissent 133 gloves. Different layers you can combine depending on the conditions. I cracked out the silk liner, mid layer and waterproof outer on Sat in -1C and it was great.
https://www.dissent133.com/