Read, study, look for popular speakers on this and other boards, but ..
The best thing that you could do right now is get out and about and listen to as many different speakers as you can ..
They will all sound different from one another ..
Take a trip to a city with audio stores.. used or otherwise, visit them and listen ..
When you hear something that sounds better to you than your Klipsch's then you'll have an idea what you're after.
Lot's of folks ( and I'm one ) find that something sounds better than the Klipsch's, but they don't have your ears and preferences .. only you can answer that.
Once you've decided on a couple three speakers, suggestions about amps, and how to use your Luxman will be a lot more meaningful ..
Both the amp and preamp will have their own audio qualities, and it's always a coin flip over which one has more effect on the sonics of the system.
They both affect the sonics, so it's always a combination of both in answer to your question.