You will have to dig down about six+ inches or so and put in a barrier of some sort and still plan to keep it trimmed back, a weed eater works pretty good. Any runners that have taken root will have to be hand dug out and clipped back, the sooner the better. If there is no barrier and regular trimming, digging it out will be a constant job. Its the nature of bermuda grass to do exactly what it is doing and nothing short of getting rid of it altogether will solve that. Its a matter of prevention or regular maintenance, there's no easy way around it.

This post was edited by GreatPlains1 on Sat, Sep 14, 13 at 23:16

Grasses fall into the "narrow leaf" category of plant material and can be dealt with by using what is called a selective herbicide (one that selects which plants to eliminate). When correctly applied it will eliminate the narrow leaf plants and not harm the broad leaf plants.

I'd recommend Grass Getter Narrow Leaf Herbicide

Here is a link that might be useful: Advanced Landscape Management