I want to grow some bulbs in my office. I have windows facing east, west, and north-east. The office is air conditioned, but not humid. What flowering bulbs can I plant, that will grow well under these conditions?
You should not have any difficulty growing hyacinths under the conditions you describe, although, as jmusser points out, you will not be able to make permanent residents of them.When I was a child, my mother successfully "forced" bowls of hyacinths (fooled them into thinking that winter was over and it was Spring and time to bloom) every year, so that they always flowered over Christmas. After planting the bulbs in bowls of damp potting compost, she placed them in a cool, dark cupboard for about three months and, as soon as green shoots appeared, she gradually reintroduced them to the light:
Paperwhite Narcissus is another plant that is fairly easy to grow indoors.
There is further information on forcing hyacinths, with detailed illustrations here.
As far as Rain Lilies are concerned, I can't speak from experience, but a quick online search here suggests that they can be grown indoors, but will not flower as well as they would outdoors, due to lower light levels and lack of rain; however, if the light from your office windows is good, it is worth giving them a try.
Further to your comment below: After the blooms have died down, the usual practice, in the case of hyacinths (and also daffodils, crocus and tulips), is to lift the bulbs and plant them in the garden, in the hope that they will bloom outdoors next Spring; however, some plants such as Amaryllis, if given the right care, will go on flowering every year indoors. See After Bloom Care for Indoor Bulbs, University of Missouri.
If you can't plant your bulbs outdoors after flowering, and don't want to discard them, you could leave them to dry out, then store them in a cool, dry place and, in the Autumn, start the process again, although there is a risk they may not bloom the second time round.
I believe you will find "tender bulbs" are easier (less work) to grow indoors than "hardy bulbs", though both types can be grown indoors.
Hippeastrum is another tender bulb you may want to look at, it's a "popular" indoor flowering (bulb) plant.
Once you've selected the exact flowering (bulb) plant you want to grow indoors, read up on the plants specific requirements eg
Good luck! and please report back here, letting us know what you choose and how you get on with growing it indoors.
You will not be able to grow a long term plant that way, but you could probably force something. Trying different things would be a good way to to find what does best in your conditions. Hyacinths or narcissus seem like good choices to try out.