The answer depends upon what you would like and expect. With sod you'll get an instant lawn. Sod is also made up mostly of bluegrass which gives it that deep green color, but it tends to be a little less drought resistant. Seeded lawns call for more patience. The rye dies off after the first year.
Rye grows quickly and helps to establish a seed bed for the other two varieties.
Because of the fescue, seeded lawns tend not to have the deep green color of sod, however after a year or so of good care, few people can tell the difference. The truth is both types will flourish if you maintain and water them correctly. If you have irrigation we usually recommend against using straw on a new lawn. Straw serves 2 purposes. To retain moisture 2.