Awesome! I'm also self-taught. Don't overextend yourself, but for me the best thing to learn kanji was Heisig's Remembering the Kanji Vol. 1 paired with Kanji.koohii.com and Anki. I don't know how far into my Japanese journey I would have gotten if I didn't learn all the kanji first. I don't know what your current vocab level is at, but if you're at less than 400 kanji, I would strongly recommend it.
Heisig basically uses the 部首 (aka radicals), gives them names that are either directly related to their actual meanings (like the three short strokes on the left of 沼 is actually is a truncated form of the water kanji 水, and sure enough this character means something related to water: swamp) or based on what they sort of look like, and then implores you to create your own story relating the parts with the overall meaning. Regardless, it took hard studying every single day for a few months, but I learned the writings and meanings of the 2000+ 常用漢字 in a little less than 4 months, and then I learned most of the readings after that. But it made every new word much easier to learn (I did go through both Genki books after that) because you already have a key definition associated with practically every kanji you'll ever see, and also gives you a method to approach any new kanji you deem fit to learn outside of the 常用漢字. This helps organize the logic behind the majority of compounds you'll encounter in some form (seabed: 海底 "ocean bottom", cafeteria: 食堂 "eating hall", review: 復習 "restore learning" etc.). Most words can have their meanings deciphered based on the characters, or at least make some kind of sense in hindsight when you know the definition (like water + road is water supply 水道. Like "Oh, like as if there's a road of water that supplies my house directly" sort of thing. And then it makes more sense when you learn "sewer" is "below + water supply 下水道")
That's what I'd recommend if you do want to eventually play through story-focused Japanese games that are text-heavy, like FF6, but also games that never came out here because they were "too Japanese" like the two Phoenix Wright games set in the Meiji era, or the fairly comical Tengai Makyou IV which is a JRPG set in 1890s Wild West America (I have that one for my Saturn as well 😉).
Kanji can seem daunting, but honestly, I've been learning Japanese for years and there's still been no prouder time for me than in that first year when I walked into a Japanese goods store and even though I didn't know the readings, I knew what every character I saw meant and understood the gist... that or the time a Japanese friend challenged me to a kanji-writing contest and I won. 👀
Regardless, learning Kanji is often the biggest struggle for many learners and I'd urge you to develop a strategy to deal with them. There's a few hundred of the 常用漢字 that aren't very 常用, but there's still a good 1700ish that really are used frequently and, for me, the Heisig method + Anki + Kanji.koohii.com (a website meant to be used alongside Heisig's method) were very, very effective. It just takes consistency and dedication. Which can be hard depending on what your personal life and obligations are, but if you stick with it, use each opportunity to practice that you can, then one day Japanese people will actually mean it when they say to you 日本語が上手です!
EDIT: Oh and imiwa? is a great Japanese dictionary for your phone since it doesn't need the internet to search, and comes with loads of example sentences and other useful features. The only drawback is it takes up a gig of space and there's no "drawing" a kanji option (you can search by radical though). Just another suggestion. 😅