Once you've pollinated your Amaryllis flower and you've chosen the best seeds and made sure they are viable the next step is to sow your Amaryllis seeds and getting them to germinate is pretty easy.
First, make sure the seeds your Amaryllis produced are viable. Some Amaryllis bulbs, for several reasons, may not produce seeds that are viable; meaning they won't germinate and produce a new plant.
The second step is to choose your soil. In my experience Amaryllis seeds can be sown and germinate in any potting medium. I've sown and germinated Amaryllis seeds in houseplant soil, seed starting soil, perlite and the coconut shell fiber disks they give you in the Amaryllis kits. Once you've added some water to the coconut fiber disks they expand and can be used to plant your Amaryllis seeds.
The third step is to choose a container in which to sow your Amaryllis seeds. I chose a clear plastic container with a lid that a pastry came in from the grocery store. What you use is up to you but it will work better if the container you use has a lid that you can open and close to ventilate if it gets too moist inside.
I like to drag a pencil through the coconut fiber to make a little trench where I can stand up the seeds. Sowing your Amaryllis seeds in neat rows makes it easier to remove them later after they have begun to grow roots. If you read my post on viable Amaryllis seeds you'll know that the ones that will germinate have a hard "bump" in them. Make sure the "bump" is covered in the soil mix. The coconut fiber should still be moist but add a little bit of water to the container before closing the lid and place it in a warm and bright area. The Amaryllis seeds should germinate in about four weeks.
One popular method of sowing and germinating Amaryllis seeds I've seen is to float them in water. It is probably the easiest and less messy method but I haven't had any luck with it but it doesn't hurt to try it if you have extra seeds. All you do is place your amaryllis seeds in a container with water and allow them to float on the surface. I've seen people use bowls, cups and aquariums that weren't housing fish.
If you missed the links above make sure to check out these entries
Sowing & Germinating Amaryllis Seeds- Part 2
How to pollinate Amaryllis flowers.
Viable Amaryllis Seeds