But the wireless internet is fast if you have a good signal.
Until you turn on the microwave

Seriously, if you are in a house you own, wire it up with Cat6a. It's a huge advantage for technical expansion as well as adds to the value of your house (Cat6a will allow for up to 10Gbit ethernet, which isn't going to be commonplace for some time, meaning you don't have to worry about the cable you laid down becoming obsolete any time soon).
Also: wireless may be all fine and dandy for your Internet, but wired is vastly superior for intranet. Over the next few years, I am expecting a huge surge in home servers, NASes, and media centers. Having the infrastructure to stream flawless HD content to any room in your house will only enable you to implement such things even faster.
If you are going the lame-o repeater route, these are what I would consider absoolute requirements in any WAP:
1. Wireless N 300 mbit
2. 2.4/5 GHz dual-band
3. WPA2 RADIUS support (even if you don't use it now)