Hi Aidan, welcome to VK !
I will start by saying that yes, there are darned few places that work on vintage electronics anymore, there just isn't enough money in it to justify operating a business dedicated to what is a somewhat small community of collectors. As to fixing it yourself, I agree that from your description of your present electronic knowledge it's not going to be possible right now. BUT ! You can educate yourself on the basics of electronics with something like the "Electronic Snap Kit" that I will enclose a link to. These kits are a perfect introduction to electronics and make it easy to learn at your own pace. Starting small like this will not overwhelm you right outta the gate and once you've learned the basics the guys here can help educate you as to the specifics of repairing your TV. After mastering the snap kit, "recapping" a common 5 tube AM table radio would be a great next step, soldering skills are best practiced on something not too valuable (There were literally millions of cheap 5 tube radios sold back in the day, so there are still plenty of them around today). That's the great thing about the snap kit, no soldering, till you progress beyond the snap kit and venture into repairing the "AA5" tube radio.
I wish you well on your journey......
https://www.amazon.com/Snap-Circuits.../dp/B0000683A4