The City of Alexandria has designated lots of bike paths and has even added loads of bike lanes for getting around town. And that's fine if you want to go where the establishment tells you to go, sheeple. I suggest careening across lanes like you own them. But if that's not your thing, you should really check out the lovely map that Alexandria has provided.
If following the bike lanes isn't your thing, or you want to plot a route outside the safe confines of Alexandria, I suggest you use Google Maps, or even MapMyRide.