Better, well that depends. Are you comfortable with manually configuring and tinkering with routers, installing custom firmwares like DD-WRT, or in need of special features like SPI (stateful packet inspection) or QoS (quality of service)?
If so, you may want to go with one of the more expensive models (like, over $100) from a manufacturer like Dlink, Netgear or Linksys.
Yeah, that's right. If you need the features of the AP Extreme then you need to spend pretty much as much money as an airport express to get anything that's really somewhat decent, so you won't be saving any dough unless you find something decent at a discount.
It will also be difficult to find a simultaneous dual-band capable router like the AP Extreme for less than the price of said extreme. If you don't need this functionality then you can get away with spending less. I still wouldn't recommend going much under $100 though, it quickly becomes a crapshoot wether you'll get a good model or something that should be taken out back and shot...
Cheap routers pretty much universally offer weak hardware combined with if not outright BAD resident software then you'll very likely to have stability or functionality issues when handling many connections (multiplayer online titles, file sharing and so on) or using certain programs like messenger or voice chat and so on.
I've never owned a router that didn't need a "vulcan nerve pinch" every once in a while, because it stopped routing properly or outright hanged on me for no discernible reason. People say Apple routers are very stable on the other hand.