help me out

Hi mummies. My LO is 5MO.. I am currently staying with my in laws. However, i can't bring my son out to the living room to play because there are cats in the house. My son has eczema and the fur could trigger his eczema so i seldom bring him out to play in the living room. I am also allergic to the fur as i'll sneeze non stop.. Will only come out when my FIL has cleaned and vaccuumed the house. So i am always couped up in the room. Can someone suggest some activities i could do with my LO in the room? I have limited space too tho.. I have a play gym but i think my son is bored with it. I need to do some activites that will encourage him to use his physical abilities..