An issue in our marriage

So since we got married 2 years ago (dated for 9 years before that), my husband and I constantly argue about cleaning. It sounds silly but it can literally has ruined our relationship in some ways. My husband is extremely messy. He throws his dirty laundry all over he floor (even though we have 3 laundry hampers in our room/master bath), he leaves spit in the sink from brushing his teeth, pee by the toilet on the floor, his papers from work are all over our house all the time and lotto tickets. Now I am not the cleanest person ever but I try to clean up after myself and our son, but when I come home and the house is already trashed, it’s easy to just say eff it and throw my things on the floor too. It’s taking over my life. I am constantly behind on laundry because I work 6 days a week and my husband works 6 days a week. We work opposite shifts so when I am at work he is with our son and vice versa so it’s hard to do things with a 7 month old. We recently had a small bed bed scare (we found 3 and had the house exterminated) and i know they are not in dirty houses or that ours is “dirty” but it was so gross and unsettling and made me feel like it had something to do with having clutter and not being as tidy. Should I hire a house cleaner? I don’t know what to do. It’s not that it’s a big deal but the big deal is it messes so bad with my anxiety. I try to do what I can but sometimes there just is no time in the day. I want a safe, clean home for our son.