The method that works really great, is cheap, and not labor intensive is to solarize using a plastic tarp that doesn't let sunlight in. This method requires a bit of pre-planning as it takes a while, but requires no chemicals and you get good results. You can add any organic material you want on top of sod, cover with the tarp cut into the shape you want, and let the worms and insects do their job. If you start this process this spring for beds you want to start next year it's perfect. If you're in a hurry, this won't work. When you take off the tarp the next spring you will find the sod all dead and decayed, and the soil all loose and worked up by the worms. The compost will be broken down and worked into the soil. You can then just plant.
Another modified way to do this in a raised bed is to lay down a layer of cardboard over the sod, and fill the bed with new soil right on top of the sod. The sod will die, the cardboard will break down in time, and your plants can send their roots right through it into the soil below. Much less labor intensive then removing sod and filling new soil back in. Good luck!