Beginner Gardening: Pics of my first plants, with some ?'s, 1 by TheBip

TheBip wrote:
First, my Hyacinth. When I brought it home a few weeks ago, it had lovely blooms, which then proceeded to die off. Then, somehow, the stalks ended up broken, probably either the cats or the dogs (It sits on a low window sill where the cats like to jump up). One day I noticed that one of the plants was dying, and I tugged on it, and it came right out! The bottom part was rotted. The container the plants are in is (well, was) a metal bucket. A while ago I noticed the bucket had a lot of water in it (I dont remember watering it that much) which I dumped out. Ive been dumping water out every couple of days. Im thinking someone in the family is watering them (even though Ive told em NOT to!), because I find a lot more water in the bucket than I use to water the plant. So Im just wondering if the plant will be ok if I keep an eye on the water. Will the stalks regrow? Should I prune em off? Should I do anything other than making sure its not overwatered?