I have 3 tools I use in the hay field, and pasture here. #1, a 3 pt. Bush Hog aerator, for compaction from the horses, and tractors making hay. Usually done in April when the ground is firm, but mellow, where it can penetrate down 4". Makes a world of difference.
#2, an Easy Seed broadcast spreader I do nearly all of my seeding with, using the "frost seeding" method. Done the last 2 weeks of Feb., or first 2 weeks of March, when the ground is going through the freeze/thaw cycles. You're basically mimicking Mother Nature, pulling seeds into the ground, when the dirt honeycombs, opening, and closing pulling the seed in under the surface. If you have any clovers in your mix, the freeze thaw cycles also helps break the hard seed shell on it. I've been doing this method for over 20 years, and have had great success every time. Just mow the field down tight in the late Fall, so it's easier for the seeds to make better ground contact. I just re-seeded my small pastures this Spring (pictured) and had a very good stand once again. The Ohio State University has some very good instructions on it, through their online Extension service. It just needs to be done, when there is little wind. As you well know, it gets pretty breezy in March here in the Buckeye State. 2 years ago, I re-seeded the hay field in Sept. with Tuuka Timothy, and did it right before an expected 1/2"+ of rainfall, to get it set in. Very pleased with the results.
#3 is my Toro slit seeder. I bought this before I retired, to seed when the weather was nearly perfect, except for being too windy to broadcast seed on my days off. It worked great, but much slower than broadcasting, due to the 4' width. Suggested speed to seed is 3-7 mph with this seeder. Check with your local dealerships, and see if they have one to rent. Franklin Tractor, in Columbus rents them. Last I looked, you could rent them for $175.00 per day. Sure beats buying something you'll only use every 4-5 years. You can also check with you local Soil & Water Conservation office that probably has a larger no-till drill you can rent. I'm thinking a buddy paid $15.00 per acre to rent one here, 2 years ago.
You're in a good region to use the frost seed method. You could always experiment with one field using this method, compared to another with little investment. Advantages are using less seed per acre re-seeding, into an existing stand, and no crop loss of the existing stand. Normally, completely tearing everything up will decrease yield quite a bit, especially first cutting. OSU also has seed rate tables for new seedbeds, vs. re-seeding. I will put it on a little heavier than it calls for, when re-seeding, but I have the advantage of smaller fields, where buying in bulk bags is normally more then enough for the suggested rate.
I do soil tests every 3 years to keep the PH, and proper nutrient levels up to snuff. And the County Extension Agent here gave me the amounts per acre of NPK, to apply after first cutting hay, to keep it at it's best. With the pastures, PH levels are my main concern, and just enough fertilizer to sustain a good healthy growth, but not lush, due to me having horses. I don't want a lush Spring pasture, with grass having a 21% protein level, due to founder issues. Learned my lesson 8 years ago on that one. Cattle however, is much different...
Your County Extension Office can be a big help. It's your tax dollars, might as well take advantage of the free service. They should have the soil sample bags at the office. Soil tests have ran $8.50 ea. in the past, and are done by the University of KY, since Ohio State dropped that service. You normally get the results back in 2-3 weeks, and your local Extension Agent will go over it with you.