μένει καθ’ ἑαυτόν - he lives alone.
μένει παρ' αὐτοῖς - he lives in the house of others.
μένει μεθ' αὐτῶν - he lives in the company of others.
συνοικεῖ τῇ γυναικὶ αὐτοῦ - he lives with his wife.
οἰκεῖ μετ’ αὐτοῦ - she lives with him.
οἰκεῖ μετ’ αὐτῆς - he lives with her.
οἰκειν μετά τινος, = συνοικεῖν τινι (LSJ)
