Not sure what equipment I need

If you use good quality coax or an LNA at the antenna, there is no need to thave the RPi near the antenna.

That's the gear often recommended here, personally i prefer the rtl-sdr LNA because the builtin filtering is that good and you are sure to not need an extra filter.
https://www.rtl-sdr.com/new-product-rtl-sdr-blog-1090-mhz-ads-b-lna/

https://github.com/wiedehopf/adsb-wiki/wiki/Useful-items-for-purchase

The short cable mentioned here is when you have the LNA near the receiver.
If you want to place it near the antenna, that needs different cable.

But i agree with the coax choices above, and if you use one of those having the LNA after the coax run is just fine.

 

The FA SDRs are just hardware, they perform the same function as other rtl-sdr compatible devices.
(so no need to feed FA if you use them)

Get started with 1090 MHz, you can always add 978 MHz later, it needs a second receiver, you can't receiver both frequencies at once with one receiver.

You'll need to turn on the V3 internal bias-t using software, that can be a bit tricky.
Set up your system without the LNA first and check that everything is working.
When that works add the LNA and enable the bias-t (puts 4.5 V on the coax for the LNA to get power).
Also when using the LNA, you'll need to use lower gain so the nearby aircraft don't oversaturate the rtl-sdr receiver.
I'd say with that many close planes and the LNA/receiver combination you'll want a gain of 20.7 or maybe even lower, 16.6 or 19.7

Some notes in case you are not using the adsbx image:

You can set up dump1090-fa without feeding FA, the webinterface has some branding though.
You can use this though: https://github.com/wiedehopf/adsb-scripts/wiki/Bundle-install-for-dump1090fa
It gives you 2 additional webinterfaces without branding.
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Also check out the adsbx discord: https://discord.gg/P6QZ5KA

Are you doing the DCA live stream? (It's great!)

 

Are you using a Raspberry Pi or another computer running Linux?

If you are not using the ADSBexchange image, i'd just use dump1090-fa, then you can easily follow this guide to enable the bias-t: https://www.rtl-sdr.com/getting-the-v3-bias-tee-to-activate-on-piaware-ads-b-images/
(it says piaware images, but it works just as well for the package install of dump1090-fa on a Raspbian image)

Great live stream! How would you like to integrate the ADS-B data?
Expose the webinterface to the web?
Or are you gonna run VRS on another computer? (that's the interface you see on the global radar for adsbexchange)

If you expect many users or don't want lighttpd on the internet, it's not hard to setup nginx with my tar1090 interface.
(apache shouldn't be too complicated either but i haven't looked into that)

I really appreciate that live stream so if you need any help configuring something or integrating it, let me know and i'll make it work (would even program some stuff for you if the existing solutions don't appeal to you).