If you are looking for an internet lawyer who specializes in internet issues, the first thing you should do is Google your exact problem. Most internet lawyers are pretty prolific in terms of blogging. They share their internet law expertise online. Chances are, you will find an attorney who has addressed your specific issue previously. You need to match your specific legal problem to an internet lawyer who has addressed your specific problem.
Internet law is a very broad field. There are lots of different aspects of technology on the web which are addressed. For instance, I work with a group of top internet lawyers in North America. These are the best of the best. It never ceases to amaze me how each of our practices are different from the other. When you are looking for the best internet lawyer, you should focus on finding the best internet lawyer for your specific issue.
You should also speak to that attorney on the phone and make sure you are comfortable with their approach in terms of their business model and attorney fees. There are lots of different business models out there for the law field. You should find a match that you are comfortable with. Chances are, you will do business with this particular lawyer at some time, and perhaps for years to come. Your relationship should be comfortable, open and encourage communication.