Icebergs are quite commonly towed away when they endanger oil rigs. The don't have to go far, just enough to go clear of the rig.
Using icebergs for water has been much talked about, including here in dry old Australia, but it's never been done on a large scale. Water from bergs is regularly collected in places like Canada. Methods include towing small bits away and shooting lumps off bergs with heavy rifles. Don't ask the price of the resulting water.
As to shipping danger, ships still occasionally hit bergs. A few years ago a small cruise ship was sunk by one in Antarctic waters. I have a photo somewhere of a ship with a big hole in her bulb bow after hitting a northern berg.