Herbert Weir Smyth, A Greek Grammar for Colleges

ἐπιμελοῦμαι, μέλει μοι, μελετῶ, φρουρῶ, πρόνοιαν ἔχω, βουλεύομαι, μηχανῶμαι, παρασκευάζομαι, προθυ_μοῦμαι, πρά_ττω, πάντα ποιῶ (ποιοῦμαι), σπουδάζω, etc.

a. The same construction follows certain verbs of will signifying to ask, command, entreat, exhort , and forbid, and which commonly take the infinitive (αἰτῶ, δέομαι, παραγγέλλω, ἱκετεύω, δια- or παρακελεύομαι, ἀπαγορεύω, etc.).

b. Some verbs take, by analogy, but in negative clauses only, the construction either of verbs of effort or of verbs of fearing. These verbs signify to see to a thing: ὁρῶ, σκοπῶ (-οῦμαι), ἐσκεψάμην, σκεπτέον ἐστί, τηρῶ; to be on one's guard: εὐλαβοῦμαι, φροντίζω, φυλάττω (-ομαι). See 2220.

These verbs may take μή with the infinitive. εὐλαβοῦμαι and φυλάττομαι take the infinitive when they mean to guard against doing something.