Getting Rid of a LOT of Burning Bush?

Hi all! I just moved into a beautiful house in Connecticut with 2 acres of woods overflowing with burning bushes - probably 50-75 total. I have never seen this house/property outside of the winter, so I feel like I need to remove the burning bush before it gets pretty and I have second thoughts. 😅😅

My question for you all: What's the best way to get rid of these, en masse, that I can plan for in January? Anyone have any tips/tricks for these guys? I obviously can't remove root balls until the ground thaws, so I wasn't sure if it makes sense to go around these next couple months sawing off everything above ground and then coming back for the roots in April, just waiting for the spring, etc.

I'm not trying to do a major overhaul right now, but I want my property to be more of a "blank slate" (or neutral slate?) by the end of the season so that I can set wheels in motion for the following one.