about 3/4 of an acre for a back yard
my 3-1/2 acres in town has a 30 foot by 40 foot compost pile 8 ft high, has been there 42 years now, neighbors deposit their clippings there also.
Start your compost pile now, you will be happy decades from now. Added 13 full truckload to the compost pile from the neighborhood in the 1992 windstorm. Put a 4 ft piece of 15 in dia D Fir log at the bottom of the pile about 1974, all gone now.
I still cut anything above about 1-1/2" for firewood just out of habit, as used to heat 5300 sq ft with wood until DW said she is getting to old to want to cut and split 8 cords/year, so put in GSHP.
I use the 'slow' composting method, too.
Given time it all turns into humus and feeds the future.
Burning puts a lot of particles in the air and takes time to monitor.