There are many live chat software in the industry which help in monitoring real time visitors. You should compare the features of these and understand this thing properly what they are providing and what are your needs.
I would like to recommend you live chat software i.e. www.live2support.com which has good features and you can also take a free trial with them. I have also taken a free trial with them and now I am very happy with their s/w and customer support officers too.