To me, "to seriously take" sounds strange not because it's split infinitive (there's nothing wrong with that), but "seriously" is not just an ordinary adverb here: it's a complement of the verb _take_. "To take the work seriously" is a very different thing from "to take the work," while "to engage the work seriously" is basically the same as "to engage the work," except more seriously.
And I don't think "seriously" (or a similar adverb), when used as a complement of "take," could just move around freely. Just like you can't say "I away chased the dog."
* And, while we're at it, it's a bad idea to take seriously (haha) anyone who thinks split infinitives are wrong. You can find tons of amusing writings by actual linguists here: https://languagelog.ldc.upenn.edu/nll/index.php?s=Split+infi...
(Spoiler alert: they think the rule is BS.)
When used in the present tense, presently is indeed a synonym of currently. When used in the future tense—e.g., “I will be leaving presently”—it means “shortly,” since “currently” isn’t compatible with the future tense.
"Hopefully" modifies "be" and is relocated to reflect colloquial speech patterns. Banning split infinitives is a legacy of trying to bend English to Latin grammar rules. "Presently" is a synonym of "Currently".
Looks like a perfectly cromulent sentence to me.