I am trying to get my garden secure for my dogs. They're only small and not very athletic. I plan on putting in a small picket type fence but I want to plant along it to make it extra secure. It will be about 15 feet long. I need cheap plants that will grow densely so they can't get close up to the fence. The fence will only be 2-3 feet tall so final height for the plants will be a little above that. Any suggestions appreciated.