I may talk about universal love, by which I simply mean pure love in the way being itself, the self of reality and limitless awareness, purely loves absolutely everything exactly the way it is and the way it unfolds. I have great difficulty expressing that, so I often defer elsewhere: Dante, Paradiso and the last few cantos of Purgatorio. I read those while in Florence. I remember what it was about and what the point of it was, but from the time I read it until today, I cannot remember what he wrote, other than it was the divine love of all things everywhere.
As for parent-child love, I think of that as unconditional love, by which I mean that there are no conditions on that love, but also that it does not necessarily extend to many other beings; it is also a restricted kind of love, in that while the child or parent may love unconditionally in one way, they may also hate and attack aspects of the other person in another way. So, this is a material form of love rather than divine or universal.
Personal love is different from those in some ways and similar in others. It is not universal, it is selective. Nor is it necessarily unconditional, although it is more like parental love in that today I continue to love unconditionally some people in my life to whom I was very close, but who deceived me or cut me off from them in a very harsh way. Likewise, I still unconditionally love people whom I cut off from my life, sometimes harshly because I thought I had to do it that way. The difference here is that the commitment to them not the same anymore, because it seemed things had to be changed.
But there is a lot of each of these three kinds in each of the others. Parental love and personal love can be ended in many ways, and ending it is often painful, more painful in my memory than birth, physical injury, or addiction. The only pain from universal love is to forget, deny or ignore it, and that is instantly forgiven simply by recognizing it again.