When I lived in Vermont I used to wear a thin pair of gloves inside of flip top mittens (or even warmer gloves or mittens depending on the temp.) The thin ones had the touch sensitive pads to use my phone when I needed, but never had to expose my skin to the elements.

I think the brand was isotoner, but I am not sure.

I think you're going to have to have different gloves for different occasions. Mittens are the best for warmth, but obviously not great for articulation. Way back when, before cellphones existed I used to wear two pairs of gloves. I would have a thin pair of full fingered gloves and a second pair of thicker fingerless gloves on top. It wasn't a perfect solution and I still found myself putting my hands in my pockets as much as possible, but it worked.
One of my students uses an ice scraper glove with the scraper removed and his cane poked through for winter weather. I don't know how I feel about this method, but it worked for him.

To manipulate Touch screens, you want gloves that specifically have touch screen material on the fingertips.

For wamth, consider getting gloves that are a gauntlet style so they cover your wrists.

There are battery powered heated gloves. I bought a pair from AliExpress but would not recommend the ones I bought as the quality control is terrible. You can also get hand warmer and feet warmer pouches at the dollar stores.

Unfortunately I don't have a specific brand for you at the moment, but what works best for me are the gauntlet style sheer fleece gloves. The best ones aren't too thin, or too thick. Strangely, I find that a light rubberised tread on the palms and fingers helps maintain the circulation in my hands when I'm using a cane or otherwise curling my fingers. You'll be best served just having a brows in a shop and nabbing yourself a few different pares to see what works best for you.

Wishing you the best of luck.

I use a pair of thin cotton gloves with fingerless gloves over top of them and keep some mittens in my coat pockets to cover the hand that’s not using the cane or holding the dog harness. Your fingers still get cold but it’s workable. I also switch hands a lot when using my cane. In general, I find that wearing layers is just good practice; it’s easy enough to remove one if you get too hot. I live in Colorado and layering clothes is just a thing here; you never know when you might go up the mountains.

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This is a blind community not a fashion community go and post in r/fasion