Funky Winkerbean said:
Always the herbicide option.
I agree. Some of that stuff on the fenceline will be easier to clear after it's good and dead and allowed to dry out in the hot Texas summer sun.
To add -- I also had a fenceline that hadn't been maintained in years and was covered with 2" thick woody vines and all manner of other brush.
I figured I'd buy one of those special string trimmers with the saw-toothed brush buster blade on it and go to work. After about 15 minutes of getting no place fast (and hitting metal t-posts with the blade), I realized that I'd have to make a half-time adjustment.
So, if OP can find a couple of guys who grew up using machetes to clear brush (i.e. - probably won't be anyone born in this country) give them a couple of good, sharp machetes. Show them the fenceline you want cleared and make a deal for a flat rate to clear the whole damn thing, with a promise of a chest of iced-down beer at the end and payment in cash.
Machetes in the hands of a couple of motivated guys who know how to use them will put to shame any walk-behind string trimmer you can buy.
Now, after you get the initial clearing done, maybe you buy yourself a string trimmer to keep it clear, or just have a yearly herbicide program using a residual like Imazapyr.
Just my two cents from somebody's who has been there.