Lexical Definition

‎ἐπιμελέομαι‎ epimeléomai (ep-ee-mel-eh'-om-ahee) to care ^G:V
middle voice from ‎ἐπί‎ and the same as ‎μέλω‎

take care of.

• to care for (physically or otherwise)

Abbott-Smith

ἐπι-μελέομαι, -οῦμαι [in LXX: Ge 44:21 (עֵיוַים שִׁים) I Es 6:27, Pr 27:25, Si 33:13 (30:25), I Mac 11:37 * ;]
to take care of: c. gen., Lk 10:34, 35, I Ti 3:5.†

Abbott-Smith References

Liddell-Scott-Jones

ἐπιμελέομαι-έομαι,

also ἐπιμελέομαι-μέλομαι [Refs 5th c.BC+]; the contraction form prevails in codices, e.g.[Refs 4th c.BC+], and is required by the metre in [Refs]: future ἐπιμελέομαιήσομαι [Refs 5th c.BC+]; -μεληθήσομαι variant in [Refs] (Doric dialect 3rd.person etc for 1st.person, 2nd.person singular -θησεῖ [Refs]: aorist ἐπεμελήθην [Refs 5th c.BC+]: perfect ἐπιμεμέλημαι 5th c.BC: Thucydides Historicus 6.41: active only in [Refs]:—take care of, have charge or management of, rare in Poets, as [Refs 5th c.BC+]; [ὑπὲρ] τῆς στρατηγίας [Refs 5th c.BC+]: c.accusative et infinitive, take care that.. , [Refs]: c.genitive et infinitive, [Refs] with indicative future or subjunctive aorist, Foed. cited in [Refs]: with optative after an aorist, [Refs]; by ὅπως c.infinitive, [Refs]; by ὡς with optative (after past tenses), [Refs]; also ἐ. τινὸς ὅπως ἔσται 5th-6th c.BC: Plato Philosophus “Euthyphro” 2d; by ἵνα c.subjunctive, [Refs 2nd c.BC+]: with neuter adjective in accusative, take care with respect to a thing, [Refs 5th c.BC+]: with accusative cognate, ἐ. πᾶσαν ἐπιμέλειαν [Refs]: absolutely, give heed, attend, [Refs 5th c.BC+]

__2. of public commissions, have charge of, be inspector or curator of, τῶν μοριῶν ἐλαῶν [Refs 5th c.BC+]; ὁδῶν (of the Roman cura viarum) [Refs] —in _Attic dialect_ Inscrr., ἐπιμελέομαιηθῆναι (_infinitive_ = _imperative_) is usual of a definite commission, ποιήσεως “IG” 22.555, etc. (so -ηθέντων[ἐπιμελέομαιεῖσθαι, of matters requiring permanent attention, [prev. work] 12.56, etc. ">Refs]
__3. to be engaged in, cultivate any pursuit, art, etc., δυοῖν τέχναιν [Refs 5th c.BC+]