You can get Bluetooth connectivity with either a powered speaker or an AVR. The Sony STR-AN1000 dues support Bluetooth and also Apple Air-Play. Something like Klipsch The Fives or Sevens would work too. The Sevens have HDMI-ARC and optical in to get audio from the TV, have a subwoofer output and also have bluetooth. The Nines are a step up from The Sevens, depending on your budget and desired size.
With an AVR you have loads of options for bookshelf speakers. If you like Klipsch, maybe the RP 600M-II? I recommend you try and visit a stereo shop if at all possible. KEF has some very good bookshelves as well but will sound quite different from Klipsch, or if you want something not loo large the Hsu CCB-8 is very good and can lie horizontally or vertically because it has a concentric driver (like KEF Q series).
The issue I see with powered bookshelves is that I don't know how they will interact with the TV speakers. The Klipsch remote will adjust the speaker volume but not the TV volume. You want the speakers to work in unison with the TV. The TV's HDMI and optical sends a fixed signal so the TV volume will not affect the powered speakers. Powered speakers are designed to work alone with the TV speakers disabled. If you are set on using the TV speakers, then you'll need a compatible soundbar or a Sony AVR that supports acoustic center sync. From the Sony web site: "The S-Center speaker input is compatible with the HT-A9, HT-A7000, HT-A5000, HT-A3000 soundbar models, and the STRAN1000, STRAZ1000ES, STRAZ3000ES, STRAZ5000ES, STRAZ7000ES A/V receiver models."
I think most members would not recommend using the TV speakers with external speakers. It's usually an either/or situation. The Sony AVR feature is the exception but has not been tested so I can't say how well it works.
If the Velodyne has an RCA input, then don't worry about it. Any new AVR will have a subwoofer output and for powered speakers just make sure a subwoofer output is featured. You then need a long enough RCA cable to connect the subwoofer to your source.