Hello cmc3663: Well... I'm certainly no expert with regard to BPD. But I as I recall, that empty feeling inside is pretty-much a classic symptom. I've never been diagnosed with BPD & presumably couldn't be now. But I have thought that, when I was younger, it might have been a possibility. I certainly have struggled with that same bored, empty feeling you describe. In my case, I damaged many relationships, & spent thousands of dollars, trying to fill that void.

It never worked.
From my perspective, there are two ways to approach this. One is to find a therapist with whom you can explore all that is going on with you, why you feel the way you do, & what you can do about it. The other is to take a more "eastern" approach & work on simply accepting the feeling's presence in your life... perhaps establish a meditation practice... that sort of thing... learn to accept what you are feeling... with lovingkindness & compassion.
Given that you're already overwhelmed with everything you have to do every day, the prospect of even taking time to see a therapist, let alone start a meditation practice, along with other related practices, probably seems little short of impossible.

And perhaps it is.

The thing is, though, it may be unlikely that empty feeling will go away by itself. So unless you can talk it away with the help of a therapist, or learn to simply accept it's presence in your life, it may simply continue to eat at you over the years. That has been the case with me.