I’m so glad you wrote this thread. I was just about to write one for the exact same topic (and the same two languages) myself!
A book I found by sheer chance years ago that’s useful for learning simplified hanzi is Tuttle Learning Chinese Characters. The authors specifically name James Heisig and that they’re incorporating his method. This book creates different recurring mnemonics for each of the four tones, which is imperfect but useful. In my experience, the tone is the hardest part of a pinyin reading to remember.
I’ve also been trying to find comprehensible input. So far, I’ve just been searching on YouTube. But for Japanese, at least, I’ve had a great experience with cijapanese.com (which modeled itself like Dreaming in Spanish). I’ve found similar YouTubers just by searching, but I haven’t had the chance to use them enough to have an opinion.
I’m still building a comfort level with 한글. The main challenge I’m dealing with this week is when the characters aren’t phonetic and/or resyllabification. I’ve just been looking words up in Wiktionary and studying IPA to get by on that front. I wish I still knew a native speaker who lived nearby, but, well, 어쩔 수 없지.
EDIT: This book has a similar title to the one I mentioned, but it’s a different book by someone else. I have this one too. It teaches the hanzi in an order closer to everyday use, but the only memory techniques I see are just writing the characters out. That is useful and important practice but not what I was referring to.