Are the vine roots out?
A Harley Rake would do the job. Not a very common implement.
You should consider turning the dirt with a traditional Moldboard/Turning Plow in the Fall, about the time of first frost. Freeze/thaw cycles during winter will break up the clods. A plow will TURN soil 6" - 7" deep which may may kill most existing vegetation with one pass. Somewhat tricky to set up properly on your tractor. May require flattening/smoothing with a Box Frame Tandem Disc Harrow in the Spring.
Disc Harrows come in many types. A heavy OFFSET DISC is a primary tillage tool and might serve in lieu of a plow. I have no direct experience with an Offset Disc but I know they require considerable tractor power to draw....perhaps 7-HP per foot of width?
More common BOX FRAME TANDEM DISC is a secondary tillage tool but might serve if you can find one with at least 40 pounds weight bearing on each disc. Would likely require multiple passes in an "X" pattern. Requires a minimum of 5-hp for each 12" of harrow width plus tractor four wheel drive for traction. Tandem Disc Harrow CUTS, CHOPS and THROWS soil first OUT, then IN, mixing soil to a certain extent.
Another option would be a CHISEL PLOW.
Have your soil tested and if necessary amend before seeding.
Grass seed is fine. Yes, you need to roll it in firmly and water seed bed ever day until it germinates. You need rapid germination so young turf will crowd out weed seeds germinating at the same time.
(A PTO powered tiller would be good if soil is not too rocky and you have plenty of time.)
(A Landscape Rake with Gauge Wheels will assist in smoothing soil and preparing seed bed.)
(Consider one year of cover crop/green manure before going to turf.)