If you just say:
If we don’t send our chainsaws first.
it does not really say where the chainsaws would be sent to, though it may be implied in context.
But when you say:
If we don’t send over our chainsaws first.
the meaning is the same as:
If we don’t send our chainsaws over (there) first.
"there" being the "Parks, woodlands, forests, jungles" mentioned in the previous sentence.
Another example:
I received your payment. I will send your package tomorrow.
does not really say where you are sending it to, while:
I received your payment. I will send over your package tomorrow.
means the package will be sent to you.