If it is a one time deal, then rent a straw blower from a local rental yard. You can hand shake, but it is impossible to get uniform coverage. You can figure 1 bale to 400-500 sq ft depending on how thick you apply it. Around here the blowers you rent are already on a small trailer, which is very convienent. Just load your pickup with bales of straw, and pull the blower behind it. If the blower has a chute, then you could get by with one person, but you'll be a busy person because you'd have to move the truck, load the bales into the blower, feed it and direct the direction of discharge. On a job site, I typically use 3 with that type of blower, 1 to drive, 1 to load straw and one to feed and direct the discharge. If you rent one with a discharge hose, then you'll need one extra person.
There is also 2 types of blowers, 1 lets you drop the entire bale in and chops the strings and all, and with the other more common type you take the strings off, and feed it in one flake at a time. Believe it or not, I think the later type has a higher feed rate and does a better job. The beauty of a blower is uniform coverage resulting in better germination, and lower bale usuage.