I use Homelite chain saws and Stihl chainsaws,trimmers and backpack blowers. For my commercial work I sub out the spraying to a licensed pest control company. I do my share of thinning to open up new lawn areas and being surrounded by the Lincoln National Forest burning isn't an option. I have found that having a tractor mounted
chipper that can be driven to the tree limbs seems to be the most efficient way to clean up. When you add up the time to transport the branches and time to burn them, add the fire risk clean up the leftover mess you will have more time than chipping the branches in place.
When you get all the branches picked up and disposed of I would consider a wide cutter such as an MX8 which would allow you to mow closer to the trees but not bump them. If it is clean enough you might go with a rear finish mower too which would be alot cheaper to buy.
Recognize that you likely have bought an orchard which has not been kept up as well as it should be and has an abundance of clean up to do. Once you get it caught up it should be alot easier to manage and maintain. I really suspect in your case the
chipper is just as important as the tractor. Think about this, you pick up a branch and toss it in the
chipper and you are done with it.
About my signature line, I have most of my equipment listed but not all of it will fit due to the text being a limited space. I have another 10 implements or so I have added since I filled out my signature. I get several PM's a week from various members inquiring about one implement or another so it does help lots of new members get some feedback before purchasing.