In addition to knowing the numbers (specs), I'd recommend some 'pre-shopping' research (read audio reviews etc. and check out how they 'mix & match' components.)
Why?
Knowledge can save you (a lot of ) money. The alternative would be to ask the salesman...
How much power?
I shall not debate on this (the debate still goes on!)
Alternatives to amp and speaker separates:
Go powered.
I would recommend powered speakers. Powered speakers have built-in amplifiers.
If you want to go cheap, go for computer speakers. CNet has helpful reviews.
... Or go for 'pro audio' (studio gear etc.) I personally use powered studio monitors. Of course, 'pro audio' has its own specifications and requirements, which vary from that of 'home audio'.
Here's my additional 2 cents of input:
It takes a lot of power to reproduce very low frequencies. This in itself can be an interesting topic.
Also…having the world's best speakers doesn't guarantee you the best sound. A discerning customer once informed me that a pair of B & W Nautilus floorstanders in a local record shop could have sounded 'ten times better'! And why not? The present amps (expensive monoblocks, mind you!) were not suitable for the Nautilus (insufficient power; 'wrong sound’).
...Do let your ears be your guides too. Happy shopping.