Yup, winter if fencing season in Texas. I'm in the middle of building some right now.
Wood posts are $$$ here. T posts can be had starting at around $3 a post. Most of the fences around here have drill pipe for the corners, and are great corners... but right now pipe is even more $$$$ than wood posts.
Another option, though some do not agree, are used telephone poles. Some electric companies and Coops will give them away if you ask. Personally, I use the butt end of the pole as the end of my corner. Little over eight feet long, four feet in the ground. I also do not use concrete, just water and tamping the crap out of the soil until I get the hole backfilled will all the dirt that came out of it. The next eight feet of the pole is the next post in the H brace, and the skinniest top part is the cross brace.
Right now I am spacing my T posts twelve feet apart, with a wood line post every 100ft. When I have a good supply of telephone poles I might put them more often.
As for field fence or woven wire... Buy the best wire you can afford, with the largest top and bottom wires your money can buy. I really like the stuff that is 9ga, but I cannot afford it right now. I agree with at least one strand of electric. Right now 1/4 mile of 14ga wire runs about $35.
This is a corner I built for high tensile electric that I built a year or so ago. With today's prices it would cost about $55 with concrete and buying the posts and stuff from Tractor Supply.