I have used Charles Schwab Europe (http://www.schwab-europe.com) for many many years now. I intially started share dealing by using the phone. However, I have now been using the internet for nearly 2 years now as it is very easy to use and you do not need to spend money on a phone call (I have an unmetered ISP). I have had no trouble or problems so far. If you are a new client, you will get 30 days charge-free dealing!!! They have several different accounts to suit your needs. I have successfully used the frequent traders club account which costs me £60 a year. I also pay £18.50 for every share I buy or sell. This might not be the cheapest around but Charles Schwab are the biggest brokers in the world and I do not mind at all paying a slightly higher amount of money a year if I know I am getting quality service. I have been with them for 10 years now and I don't mind staying for at least another 10.