First step definitely would be to identify specifically what you'd like to improve. To say 'tech skills' is to cast a wide net. If you want to learn all sorts of things that's fine, but to get started with that and identify resources you have to be at least temporarily specific.
Are you thinking along the lines of system administration? Networking? Programming? Hardware setup/troubleshooting?
Letting rage take over is not the right path, never is. Give yourself a little time and space to cool off. (Not to diminish that the situation sucks. It sounds terrible and I'm sorry for that.)
However, if you're not happy at work, looking for a new place is the thing to do. Update your resume, and take your time to find a new job. Importantly, don't quit voluntarily until after you find something else. Don't get ahead of yourself.