Quote from http://www.catchat.org/rehome.html

Allergies: If a member of the household becomes allergic to cats, or if a new partner is allergic, many people assume the only solution is to rehome the cat. This is not necessarily so. Some people may develop allergic symptoms when living with a cat for the first time, but find that after a few weeks their symptoms subside, and often disappear altogether once their system is used to being in contact with the particles of allergen. Reduce risk of reaction by making sure the cat is regularly de-flea’d, don't groom puss inside the house, and it can even help if you wipe a damp cloth over the carpet after vacuuming, and even over the cat! There is also a pet cleanser on the market, called 'PetalCleanse', which neutralises the allergen. This product is approved by the British Allergy Foundation and is available in larger Tesco stores, or for more information, call the Pet Allergy Helpline: 01608 686626 or visit: www.bio-life.co.uk

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I would also recommend keeping kitty out of your bedroom at all times, which is sad as it is lovely sleeping with cats but breathing is more important