Networked Sites

Alright, I am relatively new to any advanced content management, so if you answer, please answer in plain terms if possbile. I am thinking that Netwrked Sites are what I am looking for but need some help confirming. I would like to have a single login for my users, but have it count for not only the main site (or the subdomain they checked in with), but have them able to login once, then move freely around between the main organizational site, and the individual team subdomains. Right now, it is making us sign in to each individual site and that is a hassle. Does networking the sites accomplish this goal? Is there an easier way, maybe instead of subdomains using child pages or something else I am just not aware if out there?
Thanks in advance for any help.