Well, use lessons and drills, for sure. You have premium, so what is the point of it if you don't use it?
As for other tips, these may seem easy, but they helped me get to where I am:
https://www.chess.com/blog/nklristic/the-beginners-tale-first-steps-to-chess-improvement
Plans for Improvement

Does anyone have any suggestions for a training regime that will help improve my ranking? I've seen some similar posts on this forum, but they all seem to be focused more on absolute beginners, or people far better than I am. Playing the computers on this website, I consistently beat the 1300s, am back and forth with the 1400s, and have only beaten a 1500 once. I've never really put any effort into training, but would like to give it a go.
Does anyone have any suggestions for getting myself into the 1500-1600 zone? Should I focus on lessons or games? Are drills useful? What about an ap like Dr. Wolf? Where would you start, and where would you invest your time?
The bots are not reliably rated. Your rating seems to be the 1000-1100 range. I'll probably take a look at a few of your games later. You should play more chess games, rack up experience. I don't see a lot of games on your account vs people, which is far more relevant than vs bots.

Improving Your Chess - Resources for Beginners and Beyond...
https://www.chess.com/blog/RussBell/improving-your-chess-resources-for-beginners-and-beyond
Good Positional Chess, Planning & Strategy Books for Beginners and Beyond...
https://www.chess.com/blog/RussBell/introduction-to-positional-chess-planning-strategy
more good stuff, resources, book recommendations in my blog...for the improving chess amateur...
https://www.chess.com/blog/RussBell
also check out Chessable. Probably the best online interactive chess training site...some of their introductory courses are free...
https://www.chessable.com/?page=landingpage
catmaster0 - Thank you for going over his games so thoroughly. The alternate moves you threw in helped me understand a bunch better.
I do have one question - on Game 3, move 23, you mention the queen being trapped by your alternate move. If the queen moves to G4, isn't it safe and puts his king in check? Or does this simply delay capturing the queen and it will eventually get taken? I'm just trying to figure out if I've missed seeing something.
Thanks for your time!
catmaster0 - Thank you for going over his games so thoroughly. The alternate moves you threw in helped me understand a bunch better.
I do have one question - on Game 3, move 23, you mention the queen being trapped by your alternate move. If the queen moves to G4, isn't it safe and puts his king in check? Or does this simply delay capturing the queen and it will eventually get taken? I'm just trying to figure out if I've missed seeing something.
Thanks for your time!
For the record, the best move is just to let the queen die.
Thank you for the extra analysis! So G4 leads to just as much trouble. I'm still very much in the beginner stages and seeing that many moves out doesn't come easily yet. When I tried it out myself, I also did the queen to B4 but that was as far as I went - I didn't continue it on to see the end result.
Thank you for the extra analysis! So G4 leads to just as much trouble. I'm still very much in the beginner stages and seeing that many moves out doesn't come easily yet. When I tried it out myself, I also did the queen to B4 but that was as far as I went - I didn't continue it on to see the end result.
Yeah, that can be tricky. Just keep trying to think ahead in those moves. If you can't see all the best options see at least how comfortable you'd feel with the position a move or two out and go for it if it works for you, then take that next step. And afterwards, when analyzing, feel free to mess with the possibilities on the analysis board a bit to see how it plays out. Sometime it will get into positions that are too confusing, but sometimes the answers become clear and make more sense in hindsight.

You need to study and play chess. I recommend finding so chess books online and while reading them create a study on Lichess.com. Here's an example of one of my most updated studies. What I do is with studies, I have the mainline and subvariations in the study like interesting ideas, mistakes, etc. I don't do everyone as it would make the study too cluttered. After completing a section/chapter of a book, you don't have to go back and reread the book. It's all there in the study.
The other part of this is playing that opening and analyze your games afterwards. I do this especially after an unusual move is played that I'm not used to so I go over what to do with an engine so when I see it again, I'm better prepared for it. Also, study endgames. Endgames will make you a better player.
Does anyone have any suggestions for a training regime that will help improve my ranking? I've seen some similar posts on this forum, but they all seem to be focused more on absolute beginners, or people far better than I am. Playing the computers on this website, I consistently beat the 1300s, am back and forth with the 1400s, and have only beaten a 1500 once. I've never really put any effort into training, but would like to give it a go.
Does anyone have any suggestions for getting myself into the 1500-1600 zone? Should I focus on lessons or games? Are drills useful? What about an ap like Dr. Wolf? Where would you start, and where would you invest your time?