The chrysanthemum is a flower that is usually associated with Christmas but is actually popular year round. In Europe, it's very popular as a funeral decoration. They are a perennial so they will re-bloom year after year, and they are one of the easier plants to take care of. There are a huge variety of chrysanthemums with a number of different sizes and colours available.
Like many flowers the chrysanthemum has a number of different symbolic meanings. To the Japanese the flower is a symbol of a long life. To the Dutch the different colours have different meanings, white, for truth, red for love and yellow for a crush. And in many cultures the chrysanthemum is a symbol of autumn.
The chrysanthemum is ideal for the beginning garden because they don't require a lot of care. Like all flowers they need to be planted in a sunny location and they will also need to be planted in an area that has good drainage, this is more important for chrysanthemums than for other flowers. They will grow in many different types of soil but it never hurts to add some compost as a fertilizer. Chrysanthemums like a warm climate so the best time to plant them is in the spring when there is no danger of frost. In general the only maintenance they will require besides the obvious of needing water will be to consistently prune them. You will want to do this to help new flowers to bloom but you also want to be careful not to do it too late in the summer. All blooming needs to be done before the first frost in order to protect the plant over the winter.