Yes, that receiver will do what you want just fine and will give you an upgrade path to something better.
I'm not sure if you've bought it yet or have a great deal on it, but the new AVR-2311 is out now and I would go that route if I hadn't yet purchased a new TV. The 2310 is actually a generation old now. The new 2311 will support HDMI 1.4 which may be of interest to you if you haven't purchased a HDTV to go with the system yet.
Speakers are, more or less, standardized so you can use almost any decent quality speaker, with any decent A/V receiver on the market without problems. The Klipsch speakers probably say '8 ohms' on them somewhere, and the receiver is optimized for 8 ohm speakers, but can handle some fluxuations from that.