Why not check with the local rental shops? They often have self-propelled sod cutters that will make short work of a tough job. Some shops will rent for a 4 hr period. All you have to do is guide it along while someone else rolls the sod into manageable lengths and then cuts them with a square-edged spade or an edging tool. Much easier than busting your cojones using one of the tools you mentioned.

The link below is simply and example of a sod cutter. There are many brands available.

Here is a link that might be useful: sod cutter