You won't be able to tell yourself. You'll have to go to the doctor and get a test to tell which strain of flu it is.
I recommend getting on top of it as quickly as possible, especially since you have young children.
And no. The "flu is the flu" is a bit of a cavalier attitude toward a strain of the flu that killed more children in October than an entire "bad" seasonal flu season (September to May). I don't think the media is making up deaths to "overhype" anything...http://www.webmd.com/cold-and-flu/news/20091016/child-h1n...
Yes, this is the flu. But because it's a new strain that is slightly mutated from the regular seasonal flu strains, our bodies don't have the right antibodies present to effectively fight it, as we can the other varieties of seasonal flu that are in circulation.
I think if you have children you have a responsibility to get on it quickly---get it tested quickly, for a quick diagnosis, and then get it treated quickly with an anti-viral medication like Tamiflu.
Yes, it can be quite mild. But you can increase those chances by nipping it in the bud.