Congratulations on your pregnancy. Due to the hormonal changes during pregnancy, I would not preform a TCA peel. Because this is an elective treatment, wait until after delivery prior to receiving a TCA peel. Best of luck!
TCA peel will only cause hyperpigmentation if too strong of a peel is done for your specific skin type and color. The darker the skin, the lighter the peel. I would recommend that you leave this treatment up tp a trained professional. As far as the dark circles around your eyes, TCA can help if...
It has only been 3 weeks, so you are still healing. Hispanic skin is prone to hyperpigmentation. You should have pre-treated with a retinol/hydroquinone blend for at least 2 weeks prior to the 40% TCA peel, which may have prevented it in the first place. Now that you have done the chemical peel...