controlling weeds along a fence
My yard borders a detention pond owned by a church. Imagine my yard with grass, then a chain link fence, then a berm of about six inches wide held up by railroad ties, then the grassy slope down to the pond. The church will mow the pond area about once every two weeks but they won't trim along the fence. As a result, all sorts of weeds grow on that berm and are invading my yard.
The plus side is the church people are nice and they've given me permission to do whatever I want in that area. Is there something I can plant along the fence that will expand onto that berm and act as weed control? It's in full sun. Scatter some kind of seeds? Plant something short and bushy? Plant something viney? I've got about 70 feet of fence there, so something on the cheap is a plus.
A secondary issue is the fence along the back: same problem, but in shade.
Any ideas are much appreciated! Thanks!