hi, adrian and i chatted about this issue before.
according to the latin word order book i referred to there, personal pronouns tend to come at the beginning of infinitive phrases (see rule 2 in that post) and so the formulation you are leaning towards would fit that rule 2.
but see adrian's good arguments in that thread against my formulation of general rules for personal and reflexive pronoun positioning.
so to answer your question "is this correct?" is tricky, but if you asked "is my word ordering worse than other possible word orderings for sentence?" i'd say no.