The most common skincare ingredients you will want to avoid during pregnancy are retinoids, salicylic acid, and benzoyl peroxide. Many of the other skincare ingredients on the market should be safe (although you will want to look at this on a case by case basis).
Here are some products you can look at that are safe for pregnancy and will not affect the baby:
Ordinary Azelaic Acid for brightening and acne control: https://www.gofriendshop.com/products/the-ordinary-azelaic-acid-suspension-10
Ordinary Niacinamide for oiliness and pores: https://www.gofriendshop.com/products/the-ordinary-niacinamide-10-zinc-1
Peter Thomas Roth Sulfur Mask: https://www.gofriendshop.com/products/peter-thomas-roth-therapeutic-sulfur-mask-acne-treatment-mask
Josie Maran for moisturizer/spf: https://www.gofriendshop.com/products/josie-maran-argan-daily-moisturizer-spf-47