If you're interested in getting gigabit speeds, DO NOT use a bunch of adapters. Wire stuff directly, which includes using GOOD RJ-45 connectors and crimping them properly.
What exactly do you mean by "gigabit wireless router?" I don't think any wireless routers out there provide gigabit wired performance. You'd do better to get a gigabit wired router and connect a decent wireless access point to it-and get separate equipment doing separate jobs, which seems to be a Good ThingĀ® in most cases.
How many floors do you have? The basement is probably not the best place for a wireless access point anyway, but if you have a second floor, it's right out. I'd put the access point (I'm still talking about a separate access point and router here) on the main floor near the center of the house to provide the best coverage. My access point is in a front room (one floor) and it covers not only the whole 1800 square foot house, but the patio out back as well.