I had this exact situation when my son was first born. We got my dog bravecto (it was the only thing that worked to kill the fleas). After that we washed all clothes in hot water in washing machine and all sheets, blankets, etc. For the carpets we used this and left it on our carpet for an entire weekend before coming home and vacuuming it out. The fleas were gone after doing all of that.
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Good luck and congrats on the new baby!
Here is one but I don’t necessarily only mean this exact product. I think it goes on anything you’d want to eliminate mites from
https://www.amazon.com/Ecology-Works-Dust-Mite-Control/dp/B006G8YJXE
You're welcome! There's a lot of great websites for instructions of how to reduce the mites. Of course it will never be 100% free. I also used a spray to kill the existing mites and their egg cycle. I'll link. But there is prep work before just spraying. I deep-cleaned my whole house, little by little, including sofas. I vacuum 2 times a week. I also will be swapping out my fabric bed headboard for a wooden one. Invest in good mattress and pillow covers.
The Ecology Works - Dust Mite and Flea Control 2 lbs
https://www.amazon.com/dp/B006G8YJXE/ref=cm_sw_r_apan_glt_fabc_55QS0WCQ1C9BRPC697EF