I did something similar in my floor by using one of those wear type masonry cut-off wheels in my circular saw (home depot sells them for about $5 - I used up a few of them) to cut a shallow groove (one inch?) around the area that I needed to remove and then used an electric chipping hammer (rented from home depot for about $40 for a half day) to break up the concrete. The chipping hammer made fast work of the concrete (I finshed with the chipping hammer in about an hour or so). Have some bolt cutters handy to cut the steel mesh reinforcement. Good luck.
Joe
Joe