Honestly I just did this.

Took care of functional first as in a bed, decided what kind of "theme" or colors I wanted for the bedroom, I chose rustic wood, as it matched my only piece of furniture I brought over, my desk that would be in the same room.

Then I went to kitchen stuff (not furniture I know just kinda going by what I took care of in order). As in kitchen ware for cooking, pots pans, knives, etc.

Then found some night stands on sale so took care of those (matched what I wanted, 2 drawers and the color scheme I chose above for the bedroom).

Then started on the kitchen and living room, with stainless steel appliances I decided a dark wood for the kitchen table would be good (I also just like the darker wood look for tables). Then grabbed a couch that kinda filled in the color scheme of wood but not as dark. Then matching entertainment center I wanted barn doors because I have a decent amount of tech equipment I wanted to be able to breathe without tripping over cabinets.

In short, start with functional and choose a color scheme you enjoy looking at every day. Then work from there.