Given your budget and your criteria, I would go with something along the lines of what I outlined. To wit:
PreSonus Eris E8 XT (the one you linked to above is not the XT, in fact, it is an older design and would probably suffer in comparison). FYI, I have reviewed a lot of speakers, and the Eris E8 XTs are the only ones I have purchased after completing the review.
PreSonus Micro Station BT 2.1 for your Bluetooth connectivity.
Schiit Modius DAC to get a clean signal from your computer. If I were you, I would opt for this as it is simple, and Schiit should have good support if something goes wrong. It has been measured
here and found to have excellent performance, especially for the price. A decent-looking alternative is the
SONCOZ LA-QXD1 which has also
been measured and found to have superlative performance. It costs a little more and only comes with the post-purchase support you can get from Amazon. The MOTU M2 or
Focusrite Scarlett 2i2 are good audio interfaces, however, they do complicate things just a little by needing you to install drivers on your computer. Their advantage is that they have headphone outputs, and they can also do a lot more than just deliver clean sound output if you ever wanted to do something like content creation; they can record clean sound as well as output it.
Now you will need balanced cables to get the most from this gear. To go from the DAC to the Bluetooth receiver, you will need either a set of
XLR-to-TRS or
TRS-to-TRS depending on what DAC or audio interface you choose to go with. The DACs will want female XLR to male TRS cables (
like this one) and the audio interfaces will require male TRS to male TRS cables. You will need cables to go from the Bluetooth receiver to the speakers, and I would just get another set of TRS-to-TRS for that in the length that you anticipate needing.
If you need speaker stands for the monitors, look at Monoprice stands for that. Here are a few:
24" glass stands
23" glass stands
more 23" glass stands
Heavy-duty 24" stands
Keep in mind that the PreSonus Eris E8 XT speakers sound the best when you use them with the tweeter aimed at or below ear level. They won't have as full of a sound if they are elevated above your ear level, so get stands that are lower to the ground as opposed to higher. I wouldn't get anything taller than 24" stands.