Sorry to hear that, man. I agree with the general sentiment expressed here that you should be able to taxi around tiedowns without danger of prop strike, but here we see that that is sometimes not the case.
I don't know where you are in your training, but if a CFI was in the plane it seems like there's a good case to be made that it was his "fault", and not yours. Was he acting PIC? Is the acting PIC always responsible, legally, in the case of something like this? I have no idea, since I'm not an aviation lawyer, but it's worth getting the answers to those questions before signing anything, writing a check, or whatever. Was it your plane? A rental? Check out the agreement too, and, in the latter case, the insurance rider.
You may well be on the hook for this, but I wouldn't take it for granted.