As you improve in music theory, more and more information will become internalized, just as someone learns words instead of seeing the individual letters that form those words. A dm7 becomes a “word” that you can use in a sentence (i.e. a phrase or chord progression). Ultimately, you have to become more fluent with the basics (e.g. intervals, keys, all the chords, and so forth) before you can use them poetically, from a music theoretical perspective (that is, one in which you know why certain things are working).
I think it’s wise to try and remember as much as you possibly can. The piano will help. The more you remember, and the more you understand, the easier it becomes.
Source: I have a Ph.D in music theory and work as a prof of music theory.