I was fighting it this afternoon.
I've been prepping beds, 4'x50'. Covering with some combination of leaves, leaf mold, compost, grass clippings, branches, and trash bags full of pilfered leaves. The stuff grows right through the compost. It stands no chance with the trash bags, but soon after removal the grass pops right up. It creeps through the branches. I'm having the best results with leaves and leaf mold used as a mulch about 4" deep. Over time the grass will come through.
I got me one of these
It's a mattock, mattock hoe, mattock pick, mattock and fork, call it what you like.
Swing it in hard and deep, pull it to you. Bermuda grass pulls right out. Eat a hardy breakfast.
For small spaces this tools does a fine job. You may have to
root around a bit to get the roots out, but it will knock down the grass for quite some time. The grass will creep back in if you don't have sides to your beds, and these sides will need to penetrate the soil a good 6 inches or the roots will simply grow under then back up. I've used 12"x12" ceramic floor tile with good results. As an added measure, use the mattock to tear up the perimeter of the area every few months to rip out new shoots. Keep it mulched, you can keep it under control.