The brass flared female compression union fittings for the 3/8" tube are available from Reece HVAC-R. This is what is says on my receipt:
You'll need two of these, one for in and one for out, and you'll need access to a flaring tool in order to prepare the pipe to fit them. If you don't have a flare tool, consider that Bunnings always take returns back easily
These fittings are actually intended for 10mm pipe but will work fine on the 3/8" stuff. No leaks with my setup.
So that you can connect your hoses up to these, go to Bunnings and get two of the NETA brand brass screw in spray/hose adapters (about $2.50 each). I can't remember the exact name. They might also sell them at Reece, I don't know.
Excuse the crappy pic, it was all I could find:
View attachment 21005
These will screw into the other end of the flare fitting mentioned above. You may want to use a little thread tape, or you could just use the washer they come with or an o-ring between the two fittings.
So there you go, no soldering required.