I wanted to "just swap my speakers" 2 years ago. I ended up with a new (used) amp and turntable, new cables - kept the CD player (but stopped listening to CDs) , to improve/accomplish perfect synergy. I'd say i am further from it then when I started and it is normal.
I was convinced that it was all about the speakers. I had to spend the most on speakers and I had to find the best sounding speakers for the money (or twice the money) I had.
I would stay away from advice of a specific brand, I would start with cultures, regions and countries. Unless you buy a "Ford" you will find that every boutique shop will have a specific DNA and the results will vary accordingly as they may or may not match you visual and technical and sound requirements.
Scandinavian, British, Italian, Swiss-German, US-Canadian, all very unique and fantastic choices and camps .
I would say: spend half your time reading up on it, and youtube videos, and the other half listening. This forum was gigantically helpful for my turntable and speaker stands and a complete beehive and clusterf%k for speakers.
To paraphrase a quote from a great movie: figure out your priorities and then question and validate them. It will be a fun journey.
Your room size and listening preferences will determine how much power you will need, your budget will determine what brands you can buy and you should listen to/consider the amp and speaker as one choice and the source independent from them. (Or I could be totally wrong about this, and everything I wrote!) :)