What do you see yourself doing? Do you want to be working on cyber security applications and code, or do you want to work at a hardware or networking level, something that might be a little more IT-oriented? I've worked in security on the coding side, and know plenty of people who are software developers in the security field, as well as non-coding people like infosec analysts, network security people, etc.

A bachelor's in CS in a great choice if you're interested in cyber security. While you earn your CS degree, work on also earning your PCIP or HCP.

Frankly, a Computer Science degree is more valuable than a Cyber Security degree as many degrees in Cyber Security are overly specific to the point of not being useful practically.

Cyber security would be closer to network engineering/system administration since it would concern, networks/firewalls, servers etc.

So if you never configured a router in CLI or crimped an ethernet cable, it would be faster to get a programming job with your experience.

When I had an interview with other recently graduated students at checkpoint(big firewall company) they had a cyber security course of 4 months when they hired people. They didn't seem too pick about major choice but the pay rate was $50-60k per year to start.

Look deeply into the government-side CS careers. You will not find anything worthwhile unless you're a government contractor. Being directly commissioned into any branch with a CS degree is career suicide in the aspect that the military, as yet, has no REAL CS/Programming jobs because cyber is just now being considered.

You'll have a much better life if you stick with private sector or contractors. Don't just take my word, look around the sub as to how government programming jobs are viewed.

Edit: And look at the length of these job's training and the requirements. High school diploma or GED with a course that's less than 5 months. Do not undersell yourself.