Below is some text from a web site that I am currently building for an Amaryllis vendor. This information from the "Amaryllis Care" page of the site. This new site should be available within a few days.
Amaryllis bulbs are usually available in the fall. The Amaryllis is a large plant, growing 18-24 in., with blooms 4-10" wide. Colors range from pure white to salmon, pink and red. Bulbs can be brought into bloom from late fall until early spring, blooming 6-8 weeks after planting. In the south (zones 8-10) Amaryllis can overwinter in the garden and usually bloom in April.
Purchase large, firm bulbs. The larger the bulb the more stalks and flowers it will produce. Plant in a light, well--drained potting mixture. The potting mix should be about 1" below the pot rim to allow space for watering. Plant the bulb with 1/3 of the bulb above the mix. In the garden it may be necessary, after several years, to lift the bulb and replant as they tend to pull themselves deeper into the soil. When foliage and blooms decline this is usually the problem.
Place your potted Amaryllis in a sunny, warm room. Water sparingly until first shoots appear, then water whenever soil is dry- making sure it is evenly moist, but not wet. Turn the pot every few days to keep the foliage balanced. Some varieties may need staking. Fertilize with a balanced water -soluble fertilizer such as 20-20-20 once a month while the plant is in active growth.
Once the flower buds are ready to open, the pot can be moved to a different location, one which is cooler and has less direct sunlight. This will prolong flowering and show off the brilliant colors. Remove the flowers as they fade to prevent seed pods from forming, which diverts food from the bulb itself.
When the bloom period is over, place the pot in a sunny location. Water and feed regularly to promote vigorous foliage and to enlarge the bulb. Bulbs may be placed outdoors in light shade during the summer as long as they are protected from spring and fall frosts. Bring indoors after the foliage has died(about Sept). Store in a cool dry location out of direct sunlight until signs of growth reappear. Discontinue watering and feeding during this time to prevent rot.
In about 2 months new growth will appear. Gently remove and replenish the top 1" in. of soil adding in 1 tsp. of bonemeal.