I'm not aware of my having allergy issues with flowers. I really do love lilies and roses. Lilies are very toxic to cats with every part of the plant including the pollen, so I don't get Easter lilies anymore as I have 5 cats. I do have some nice artificial flowers that are fine. I also have orchids (phaelenopsis) and they are easy to grow, don't require typical soil and don't have fragrance. The blooms last a long time up to 3 months. Sometimes these are grown in sphagnum moss. As long as that doesn't get mildewed, I am fine. Orchids grown in bark are better for allergy avoidance, but you need to keep up with water when there isn't much to hold it around the roots. Orchids in bloom can usually be found at grocery stores fairly economically.