Lots to consider here as you can see from the posts.
The 901s require the Bose equalizer to sound even half decent, which requires either a tape monitor loop or per-out and main-in jacks. Modern receivers don't have that feature any more. As TLS Guy mentioned, the 901s used very cheap drivers, which most people are not aware of, so we tend to discourage people from using 901s unless they are dead set on the nostalgia aspect.
How old are the 301 Vs? Likely about 20 years or more but if they are in good condition they may be usable. I would get a good pair of speakers and subwoofer for your main listening area and if budget is a concern then the 301s might be ok for the second listening area if you don't need it as loud (say for background listening). If you want an on-wall or in-wall then you should consider something else. Triad above does make good speakers if you would like a custom solution and DigitalDawn is a long time forum member.
For outdoors you want a weather proof or all-weather speaker. There are several options like Polk, Yamaha, Dayton and others. Consider whether the speaker location will be sheltered or exposed to direct weather as some have better weather proofing than others.
If you want to connect the TVs you will need a modern audio video receiver (AVR) or integrated amp but with 3 TVs it may get complex. For starters, you can not stream audio from a TV to an AVR via bluetooth; at least not directly. The bluetooth in TVs is typically for connecting bluetooth headphones. I can't think of any AVR or TV that will support streaming in this way and at best the AVR would only support one connection, not 3. So you are left with a wired connection. For a single TV you can use the ARC or eARC connection on the TV to feed audio to the AVR via HDMI, but AVRs only have one eARC/ARC connection, so 3 TVs is not possible.
That's leaves only a couple of options. One is an HDMI switch box to connect the TVs and connect the switch box to the AVR, but it must support ARC on both inputs and outputs. The other option is to use the optical audio out on the TVs to connect them to the AVR. That requires making custom length optical cables and also an AVR with 3 optical inputs. Problem is, most AVRs only have 1 or 2 optical inputs and requiring 3 will limit your selection to higher end AVRs with more inputs.
For 3 pairs of speakers, there are AVRs that have 3 zones, but those tend to be in the higher end. The less expensive AVRs typically just have a second zone. You need an AVR with 3 zones and assignable amps so that the zones can be assigned to the built in amps. Watch out for AVRs where the zone 2 or zone 3 only works through the line level (pre-amp) connection, which will require another amplifier for that zone.
So, given your requirements, I would recommend that you hire a custom installer. If it was just one TV and 3 zones, you might be able to handle this yourself, but adding 2 more TVs into the mix makes this much more complex. We have some custom installers in the forum that may know of other options that I am not aware of.