I understand from context that both are different, but what rule applies here? Is there a general case where you change the word order and you change the meaning?
We have to clarify one thing here.
is more like an imperative to me, though it does sound extraordinarily quaint. Progress hopefully is an awkward attempt to say something like I hope you'll make progress. but it's not a sentence I would want to use. I would simply say Make the best of it! and that's it.
can be applied in a sentence where there's a split infinitive. Once again, it still has a strange sound.