There are multiple ways to travel to Lake Cargelligo. The best option will also depend on from where is your starting point.
By Train
If travelling via Bus or Train it is important that you pre-book your ticket as the transport out in the outback you can not just jump on whenever you desire. Best place to book the ticket is by going down to Lower Lachlan Community Services on 30 Foster Street Lake Cargelligo as they are able to organise bookings for you, or via the Countrylink website showed below. These bus and trains run on specific days of the week to certain places so if you know you are wanting to travel ensure that you book ahead to ensure yourself a seat on your desired date.
https://transportnsw.info/regional-bookings/
By Bus
Timetable for Southern Region
For More Info about Trainlink visit the website below
https://transportnsw.info/routes/train
By Car
There are a few different ways to drive through to Lake Cargelligo. Via West Wyalong, Condobolin, Griffith, and Cobar. Just remember to fill up the tank as some towns are 100km apart without a service station in between.
For more in depth directions via car please use this site:
https://www.google.com.au/maps/dir/-33.7969152,151.2914944/Lake+Cargelligo,+New+South+Wales+2672
By Plane
If you are flying to Lake Cargelligo you must fly through to Griffith airport then travel from Griffith by car or a bus. This is about 150km trip from Griffith to Lake Cargelligo so whether you hire a car or have someone meet you.