I was the same as you, got out with no college, and got a job as a Jr Unix Systems Administrator. That being said, I had a lot of Unix/Linux knowledge already from personal study. I worked my way up to a Sr Systems Admin, but wanted to build things and couldn't do that without teaching myself to code.
I'm now a Software Engineer for one of the larger financial firms in Chicago. I never went to college and am self-taught. Every firm that sees "military" treats it the same as a degree aka:
Requirements: batchelors degree or "equivalent experience".
Work hard, and you'll be fine. Tech has no issues with vets at all from what I can tell. What in specific were you looking to go into?
For reference, here is a very not up to date resume: http://www.digitalprognosis.com/resume.htm