I was ~1300 four years ago, in the beginning of 2018. I’ve always taken the game casually, tried to read a book here and there. There’s probably ways to push your rating faster but I’ve taken my time and tried to enjoy every step. I’ve also taken some breaks from chess as well.
At 1350 I did a lot of tactics, specifically Tim Brennan’s Tactics Time series. They’re amazing books. Solve the first two books and you’ll be 1500 easy.
Another thing that really helped me at around this level is John Bartholomew’s Climbing the Rating Ladder course on youtube. It’s free. Watching the <1000 and 1000-1200 rating range videos changed my life. They taught me some valuable things about chess that I use even today in every game.
At 1500, I started learning about openings. I picked up Vincent Moret’s Opening repertoire for white and black (2 books), and worked through them. That got me to around 1700. I’m not so sure about recommending Moret’s books as they’re kind of lacking (especially the black book), but at 1500 maybe it’s a good time to go on a site like
chessable.com and start learning a basic opening repertoire.
Another alternative might be to pick up “A First Book of Morphy” by Frisco Del Rosario. This book teaches a lot about chess principles, and how Morphy used these ideas to utterly crush his opponents.
Another book that you might want to look into is Logical Chess Move by Move by Irving Chernev. I’ve read this book twice. Once at the 1350 level (or around there) and once at the 1700 level. It pushed my classical rating to 1850 on here.
I also have a friend on here who didn’t read any books, didn’t solve any tactics, and got to 2000 rapid rating simply by playing A LOT. We’re talking 4k+ rapid games.
Good luck with your chess! Try to enjoy the journey. Being higher rated isn’t all it’s cracked out to be, as players know much more about the game and every game turns into a major sweat fest. It can be quite intense and tiring at the higher levels. Sometimes I wish I were 1300 again, because back then the game was a lot easier to play.