Skid Steer Solutions web site is down this morning.
Many use a Three Point Hitch mounted, PTO powered Auger to create tree holes. I use a bucket spade but the bucket on a BX is not heavy enough to withstand bucket spade torque. The photos show bucket spade on a Kubota B3300SU tractor-loader package. Bucket Spade weighs 110 pounds.
A soil test is money well spent. As you can add N-P-K through fertilizer pay most attention to soil pH and micro-nutrients. Rather than attempting to change soil pH, try to find lawn seed mix optimal for the soil pH you have. What you need in NY will be completely different from what works in Florida.
If you do not think BX is enough tractor, look at the Kubota L2501/HST. More weight, minimal emissions controls, good price.