I have to say i never worked in Abiword. But i'm all for OpenOffice. Not only it is freeware, but i has a word processor similar to Word (and reads doc format), and more it has something like Excel, and a tool for presentations Impress (substitution for Power Point).
One more important thing is that there are tryings to make a standard for saving document files, and the formats that OpenOffice uses are supposed to be used for the world wide standards. So OpenOffice will become more popular, and more people might contribute in it to make it better and better.
Of course Writer (the Word substitution in OO <- OpenOffice) has some flaws, but still Word has some too

And another thing is that it's open source! At least for me it's a plus.
So concluding - my advice is OpenOffice (the adress is in the previous post).
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