expecting moms with kitties

Jessie • Stay at home Mom to a wonderful daughter. Married to my best friend. After 4 years TTC 4 rounds of IVF proud twin boy mama. Loving life each day as it comes.
My husband can not clean our cat box. He will vomit. Diapers he can do cat box idk what his deal is. He had been like this for ten years. I am 6 weeks 3 days and i clean the cat box regularly. I wear gloves and I wash my hands right away. This should be ok right??