We moved in July, from near Beit Shemesh to Jerusalem. Our movers name was Shmulik, and his telephone number 02 643 9550. He speaks both English and Hebrew, and if you call and he doesn't answer, just leave a message and he will get back to you.
He was very reasonable (prices a good 1000 - 1500 cheaper than other companies quoted me), reliable, kept in contact before the move, had an excellent team, did not stand in the lounge and demand a giant tip (as so many do), and nothing was scratched or broken (his team really took great care of our things), and at the end he even gave us interior decorating advice! :) (janglo post)