Those cats are competition for your attention thus the "allergies" and they must go. If it was 2 parakeets the same would probably happen. On a side note Ive purchased DOZENS of pinball machines over the last 30 years from situations in which the other spouse wanted them gone for whatever reason (probably attention) This is always in the beginning of a relationship,marriage etc. Sometimes those same people are looking for the same pinball machines after the split years later. Please rethink your decision if they are important to you. Have her seek treatment and work together to help her allergies. Dont give in. If she truly cares she will understand.