Get some RoundUp, put it in a sprayer, go around the fence, once the grass dies, put some fabric down, and four inches of mulch. I don't use fabric, but I have to weed a bit. I tend to split and move plants around alot and don't want to have to cut holes in the fabric all of the time, which is why I don't use it. I have basically set my yard up though to minimize weed wacking, I edge the mulch beds twice a year, and mow, I have a small bit of weed wacking to do, about twice a month.