Sounds simple enough, I always have a tendency to rush this process but it pays off to take your time and get it done right. Literally it takes time, after the initial tilling the beds need to be given time to rest, remember you just broke up soil alowing air to enter the soil, it will compress some and it will appear to have sticks, rocks and rhizomes float up. After the initial tilling let the beds rest for a few weeks with rain. After a rain rake what’s on the surface off and discard. Remover not to walk where you plan to plant.
If there was a lot of debis tilling again would be a good idea, and repeat the process.
If you have a lot of rhizomes from invasive grass, they must be disposed of properly, not in the compost pile.
Earlier I said the sod could be composted in a pile and reused, I have never had an issue with fescue if proper time was allowed for decomposition but with grasses like Bermuda it may be better off to get rid of it all together, use it for fill somewhere.
After all the debris has been removed, loosen the subsoil, in the next post!