Age is a factor
I don't know the original posters age but I suspect it's mid twenty ish max.
If the TP job comes with a bonded TR, lifestyle you like and base which makes sense, then go for that job. You probably will get paid from day one of induction.
Your girlfriend may be all supportive now, but when FR changes your base twice your girlfriend ain't gonna be impressed. And they will. A mate of mine is with them and he also says it takes a long time before you actually get that first pay cheque. So you are 24k down for the TR plus living expenses and accommodation for up to 5 months. That's a lot to be in the red before you get your first salary.
Well done on two offers.