I have a hive. They are a long way from the chicken coop and house, but plenty of them are buzzing around my garden and pens looking for food and water. The chickens also follow me out to the hive when I go look at it. No problems so far.
Bees are very low maintenance, good for your garden, and who doesn't want lots of free yummy honey? Good for you on choosing to become a bee keeper!
For others interested in getting bees and saving money, you can find plans online for building your own hive, it is pretty simple to do if you have some basic tools and ability. We currently have a homemade top-bar hive, but I don't like working with it, I can't seem to get into it without doing some damage, which upsets the bees and makes them aggressive. We're going to be building a Langstroth hive with standard frames (without the plastic foundation though, we're using wire ones) to make handling easier. In the spring I plan on setting up a second hive also.