Cat sitting at our home during your vacation

Hello, We are hoping to find a win-win situation : We (two senior citizens, and I, their daughter) are very experienced with cats, and have have taken excellent care of them during their lifetimes. We do not have a cat at the moment, and are not looking for one for the long term. Currently, we have reason to believe that a mouse has gotten into our house. We are considering inviting a cat if there is one who would consent to spending some time in our home during your vacation. We are wondering if anyone has a cat in need of vacation care, who would not be upset about being temporarily uprooted. Please feel free to contact us if you think this might be a possibility. Sincerely, Sharon