I think what makes it hard is that, while the byline of "life" is obvious, the "human" part is much less so, and the "person" part much less. Obviously, one cell may be a "human" in scientific terms, in that it has our DNA, but not many people would refer to a cell or cluster of cells as "human". Once those cells develop into the fetal stage, it becomes more a question of personhood and how we define a "person".
I know it's cliche, but after the birth of my child I had to rethink my views on abortion. The "able to be supported as an independent person/not a parasite" argument seems weak to me, as even a baby removed from its mother is still dependent for food, protection, etc etc. I'm not sure if the snipping of an umbilical cord should be the symbolic cut to determine personhood.
Should we make abortions illegal, and push them underground, knowing that kids will still have them performed in less safe places? Should the taking of that life be outlawed anyways, even given the potential for those backroom procedures? Determining balances and things of that nature. My views certainly aren't set in stone. I'm not convinced that abortion should be outlawed, but I also think abortions should be performed as early as possible.