My parents have recently introduced a kitten to a 1yr old cat/kitten. For all the over excitement and 'fights' they have it's fine. They are adjusting to each other and apart from ensuring the 'fights' do not become too over the top, leave them to it.
Let them play fight and stop it only if it becomes 'real'.
As to them eating from the same bowl, this is also the case for the two my parents have. As long as they both have enough food, they'll be fine.
Also keep your camcorder/video phone handy as some of the fighting or stalking will be absolutely hilarious, trust me
I have my own fantastic videos
