Hello,
A receiver is absolutely the best option here if you don't want to deal with additional cables. Generally you want to stick to HDMI. 699 is a lot to spend for a receiver judging by your setup, but some cheaper models break easily so you might as well.
From there, all you do is connect HDMI from your devices directly to the receiver's INPUTS. There's an OUTPUT, which you want between your TV and Receiver. Your speakers also go into the receiver, watch a simple tutorial here on YouTube:
https/www.youtube.com/watch?v=3zFs8uSZsCc
Also, sometimes (happens too often), manufacturers don't really list true specs of amps and speakers, so I would educate myself on matching speakers with amps if you want to select a different model, sometimes it can be tricky. Though as long as you don't increase the volume too high you SHOULD be fine.
That's about it, pretty straight forward. If there's anything else, just ask.