Hi Katalin, thank you for posting this discussion topic and question. I, too, have recently found myself asking the same question. So, I've searched online and found a few links and recommendations, which I will share below. A popular piece of advice seems to be to consider making your own cleaning solutions using products such as baking soda, white vinegar, Castile soap, etc.
Here is the list of resources; I hope this information is helpful for you and others.
1) Asthma.net - In addition to the article Leon shared, here is another Asthma.net resource on this topic - "DIY Your Own Asthma-Friendly Cleaning Supplies" - https://asthma.net/living/diy-safe-cleaning-supplies
2) US EPA "Safer Choice Certified Products" list - https://www.epa.gov/saferchoice
3) American Lung Association "Cleaning Supplies and Household Chemicals" - https://www.lung.org/clean-air/at-home/indoor-air-pollutants/cleaning-supplies-household-chem
4) American Lung Association "Safer Cleaning Recipes" (downloadable PDF) - https://www.lung.org/getmedia/3030b2d9-02f0-4be4-ab86-d6bd86f88b88/ALA-Safe-cleaning-products-MHE-program-August-2022
5) AsthmaAndAllergyFriendly.com - "Certified Cleaning Products" - https://www.asthmaandallergyfriendly.com/USA/products_categories/cleaning-products/
6) American Academy of Allergy, Asthma & Immunology - "Mix Your Own Cleaning Solutions" - https://www.aaaai.org/tools-for-the-public/conditions-library/allergies/cleaning-product-allergy-asthma-sufferer
7) Asthma & Allergy Foundation of America Online Community - "Cleaning When You Have Asthma: The Dirty Truth" - https://community.aafa.org/blog/cleaning-when-you-have-asthma-the-dirty-truth
😎 HealthLine.com - "Cleaning with Allergic Asthma: Tips for Protecting Your Health: - https://www.healthline.com/health/asthma/cleaning-allergic-asthma-safety-tips
9) Readers Digest (rd.com) - "13 Best Cleaning Products for People with Allergies" - https://www.rd.com/list/best-cleaning-products-allergies/
Be well.
Jacquie