Chuckling along with Lisa P. I'm with her -- I would rarely need gloves at that temp! But it's all what we are used to. Who would have thought that this Ontario girl would complain about winter temps around 5 C once she got to the west? But it's the daaaaaaaaaamp!!!!
So -- one consideration -- do you need or want to wear them when driving? This is relevant to fabrication. Leather work much better for driving gloves, or at least a leather palm. If you go for leather, look for ones that have a cashmere or alpaca lining -- or, if you run really cold, shearling. Shearling with make for a slightly bulkier glove but they will still be nice looking. Mr. Suz (who has Raynaud's) wears shearling lined gloves.
I have a lovely pair of boiled wool gloves (similar to the ones in the link but all red) that work great for temps like the ones you are describing. I've also worn the Icebreaker merino gloves and they are quite good, too -- they don't look as sporty as you might imagine. They make versions for wearing as is and versions for wearing as liners.
I find bulkier knit gloves to be sort of useless because usually the wind blows right through the holes in the knit -- there has to be some wind resistance.
The so-called tech or touch gloves (i.e. with fingers that supposedly allow you to use your tech) have never worked for me at least for that purpose. They can be perfectly good as gloves, though -- just no good for using my phone!
The other kind of "tech" gloves -- i.e. gear gloves for specific sport -- often work very well for the sport in question, but are not necessarily warm enough for ordinary walking. (I have several tech fabric gloves that are great for runs but the spandex poly fabrics don't keep me warm if I am not moving quite quickly). Others are simply too bulky and warm -- they are meant for true outdoor sport.