Dont take auto ride to reach Kurla Station, specially in morning 6am to 8am time. the level crossing between Tilak Nagar Station and Kurla is sometimes closed for 30-45 mins in a stretch to accommodation smooth passage of local trains.
Instead take a local train from Tilak Nagar Station which right next to Lokmanyatilak Terminus Station, it is barely 40 meters walk from LTT station.