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70% Util, what is your total CL? Will 12k plus $600 drop your util down any significant amount. There are several score simulators around that can give you an estimated FICO score after your changes, but since you wanting an auto loan then you need to look at your auto fico score.
Auto loans are generally easy for anyone to qualify for, but your interest rate might be pretty dismal.
A $25k purchase is huge. I would recommend holding off and improving your credit situation/finances before committing to anything near that.
PIF'ing all cards and allow one to report 1% util will be your biggest bang for the buck but 70 points is a bit of a stretch since it is also based on what else is on your CR. It will also lower your DTI which could increase the amount you can borrow so I would do that but you might not get the 70 points you want. You could always refi later if your scores go up enough to make the new rate cost effective. Also check with a local CU since multiple INQs for an autoloan won't hurt your score vs 1 INQ.