Help with Ceiling Home Speakers - New Owner

It sounds as if you have three separate systems. You haven't given information about the speakers themselves, which would be helpful. The simplest arrangement would be to have three separate streamer/DAC/amplifiers one powering each stereo set of speakers. Wiim Amp Ultra would be a good option, and you would be able to control each of them separately (or create a single distributed system with any number of the amps) from a smartphone app. Sonos would also work, but does not have Bluetooth capability where the Wiim Amp Ultra does. (AMZ, your friend here.) I recommend you terminate the "wires" at the wall box with banana jacks (4-jack units) so you can easily connect and disconnect the amplifiers going forward.

2 things to determine first:

1. determine what each wire set powers which speaker, maybe by connecting to a stereo. Mark/keep track of the results 
2. then for the remaining speakers not determined in step 1, determine where the speaker wires end- hopefully it’s not to difficult.

Afterwards, determine how you’d like to control the speakers. For example, separate systems, or a centralized setup.  After you determine what you want, then it’s time to look at options which may include rewiring or maybe bring in a professional, etc.  

Thanks all for the response.  What is meant by terminating the existing wires with banana plugs? Are you referring to simply connect the existing wire ends with the plugs? If yes, will these work:

https://a.co/d/0cnhXATU

Also, for the exiting Sonance SS4 multi speaker device the prior owner left me, there is an input port - what type of device/wiring can I connect to the ss4? I’m looking for something cheap and simple to connect - if so, will the following work (or can you guide me on how to connect these devices to the ss4)?

https://a.co/d/06kXxCxV

https://a.co/d/05HEwmr7

https://a.co/d/082abCee

What about this wall device? Could I connect my speakers to this device in an adjacent outlet and use it to play music through Bluetooth?

https://a.co/d/06VrSvr9

https://a.co/d/0bkj9MsX

You'll need an amplifier to power the speakers and a source for audio.  You can use Bluetooth, but that's not a stable solution for a house since it has such a limited range.  The standard would be a Sonos Amp (WiFi network based solution), at a minimum and beyond that, something like a Sonos Port with a dedicated amplifier to adequately power all those speakers.  This would allow streaming audio from providers like Tidal, Spotify, TuneIn Radio, and more over the internet, rather than Bluetooth from a phone.

Also keep in mind, those are some very old speakers and they might not work, be dry-rotted, etc. so they might need replacing, as well.