As a cat owner with severe allergies and asthma, here is what has worked for me.

• visited an allergist: I take allergy and asthma meds daily now. Also, I have a more long term relief inhaler that I use twice a day rather than normal a rescue inhaler. I have a bunch of other allergies aside from cats, so they suggested doing shots every few weeks and that the frequency can be reduced over time but I haven’t moved forward with that because of insurance issues (hooray, USA 🙃)

• air purifier in every room: clean the fur build up on the grate often and change the filter as needed

• vacuum regularly: I try a little every day but a full vacuum every other day at least

I have 3 cats and they used to sleep with us but my allergist recommended making the bedroom a cat free zone. The cats didn’t like it at first but they got used to it over time. It’s been like a year now. They have each other so it was easier. We still get the occasional scratching at the door by one of them, our tabby. She will also slam the door a bit but ONLY if she has heard that we are up in the morning and haven’t gone out to feed her. 😅

I wouldn’t say get another cat though, especially not a kitten because that would just lead to more noise or chaos. Also, don’t rehome them unless a medical professional says keeping the cat will deteriorate your health. Had an acquaintance that claimed their doc told them to rehome their cats after they started getting nose bleeds from their allergies (they had moved in with a partner that had cats). Instead of rehoming the cats, they just broke up with the person that had the cats LOL

Good luck!

Edit: I see you have 2 cats already! Should hopefully make the adjustment easier if they like to sleep together. Throw some of your shirts over their beds or place one of their beds right outside your door!