One way I dealt with in in a backyard setting was to plant tillage radish (AKA oil seed radish) in USDA zone 6.

It's a biennial that you plant in late summer. It will freeze kill or, if it survives the winter will summer kill. It breaks apart compacted soil and leaves a bunch of mass in the ground that attracts and feeds earthworms. The seed is rather cheap so you can do this over a handful of seasons without breaking the bank.