Develop skin issues during pregnancy?

Is it possible to develop skin issues while pregnant?

I’m 14 weeks and my skin has been dry, itchy, and red all over my body. My palms and soles of feet are not itching as I’ve heard that’s a bad sign so that’s good at least.

When I wash dishes, use lotion, body wash, really anything it burns and itches my skin.

Should I talk to my doctor or is this normal?