I had somewhat similar need. I had created three local libraries, but could not access them all in any one new project. But then I was (at least), able to put all my scattered local libraries, with all my frequently used footprints, into one new project folder. That way I can now quickly access all the three libraries in a one single project. You can look up the forum under this heading below, & it may help you:-
Yet a better & professional way I think, is given above by @keruseykaryu
(Though my problem was solved in a simple way, however, my method may not exactly suit you)