You may find that you need to address a few things that might help. Keep your whole body a little bit warmer than usual but not uncomfortably warm. This will help a little. Some people have higher sensitivity to cold because of genetic differences in where the nerves run in the hand. This can make you hands more susceptable to the cold. You may need to get ergo bars combined with thicker bar tape. Or bars ends with a thick wrap of tape if on a flat handlebar bike. Often the seat is a little too far forward and too much weight is placed on the hands making them more susceptable to the cold. Keep your arms and lower legs warm. This will help keep the hands and feet warmer. Poor circulation problems are perhaps not so easy to fix but doing some of these others things can help some.

Feet are the hardest thing to keep warm for many so you are not so different. Just more sensitive. Try going with an oversized shoe and in addition to the thick socks put an aerogel foot bed in the shoe. The foot gets cold both from the heat loss from the plastic sole and metal pedal and from pedal pressure which cuts off circulation on the bottom of the foot.

Going to platform pedals with clips and wearing softer cycling shoes on a larger surface area can sometimes help during the colder months.