Ok, well assuming you are like me the first thing is to NOT let your hands or feet get cold if you do then putting gloves on just makes them colder - yes I know that sounds daft to any one else.
Silk or merino gloves under any other type of glove keep you warm.
Cashmere gloves are fab too I have several from this company Gretna green and a few from various sellers on Notonthehighstreet or Etsy. I have collected them over the years and just treat them like an accessory.
These are great for indoors etc [[http://www.turtle-doves.co.uk/product-category/recycled-fingerless-gloves/ turtledove fingerless gloves] or wrist warmers
Also learn to embrace mittens! Put silk or merino gloves on (or even two pairs them great warm lovely patterned mittens over the top.
Other things to do genuinely help as daft as it is sounds LAYERS eg I always wear a silk / cashmere roll neck under a loser fitting jumper etc. Tights under trousers, silk socks etc. etc. etc. Look for tops with thumb holes to hold them over your wrist, silk gloves inside that then outer gloves over the top
For work were I am not allowed to wear anything below the elbow I tend to do things like wear gloves to work and each and every time I step outside / go on a break, finger less gloves / hand warmers when I can and keep reusable heat packs in my pockets and shove my hands on them every chance I get.