Based on my audition of the Focal 816v speakers, the 714 should be a great speaker. Focal is known for it's excellent tweeters and full warm bass. BUT-- careful of standing waves in your squarish room.
I agree with considering smaller speakers if this is your 2 channel room size. I would highly recommend checking out the Leema Xero mini monitors. They are astoundingly good (I realize this sounds like hyperbole, but trust me) for their size. By far the most transparent speaker I have heard. They are the type of speaker that literally "disappears" completely. Careful though, break in is 100+ hours on these guys!
I would match the Leemas to a dedicated 2 channel integrated amplifier such as the Cambridge audio 651a or Rotel or Arcam solo etc. The Leemas like power so don't skimp. These are expesive options pushing your budget.... but used could be a good option. Generally, AVRs are not superstars for critical Stereo listening.
If you decide to go the powered Studio monitors route, with a computer as your hub, the Audioengine D1 Dac matched with Mackie MR5MK2 or MR8MK2 speakers would be an excellent combo, and a great value for the performance. The MR8MK2's are popular because of their great bass depths. No sub needed. I am helping a friend with this very setup and can say the MR5MK2 is an excellent value for the money and space saving. Lots of great choices with powered setups. Good luck!!
If cost wasn't such a factor, and it were my money, I would have the Leemas in a heartbeat. But I perfer detail and finess as opposed to brute force and punch. "British" sounding I guess.
Some of this may sound a little airy fairy audiophile I know.... But I have heard all of these options and am not exagerating.