that is what we call a "keiki" which is hawaiian for "baby" and after it grows roots (about 3 inches or more) you can detach it and grow a whole new plant. orchids grow slowly, so don't panic. they do flower indoors, if they have enough light. never use any salt based commercial fertilizer at full strength. it can harm the plant. they are tropical plants, so the temps are ok, but they may want a bit more humidity, so i would focus on that, some sort of tray under them that can hold a bit of water, but not keep the roots wet. you can fill the bottom saucer with gravel and water so that the plant stays above the water.