First of all, I want to be sure you understand that Finkelstein does not represent the Jewish consensus by a longshot. Morris would be a better bet for that, but even so there's still tension between the Israeli government and Morris' work, since it has a tendency to reveal unpleasant facts about Israel.

Unfortunately finding a source that "doesn't take any sides" is nearly impossible. If you can find one, all the better, but I answered this question about 6 days ago here, and believe it's still apt if you'd like to investigate factual analysis on the overall movements in the crisis from both ends. After you read Smith and Morris, if you're looking for other general overviews, I can give you more biased accounts from both ends of the spectrum, but quite frankly those two are about as good as it gets in my opinion. Unfortunately, while reading, you'll have to learn to cross-reference between the texts and other texts you may have read to see how interpretation of facts and events can differ with the bias very widely.

The upside to Morris' and Smith's works are that they are published with at the very least documentation from the Israeli end up to a little past the 1967 war, since Israel has a "30 Years Rule" on releasing archived information. They also rely on memoirs, firsthand accounts, etc., and American archives. The downside is, for some areas some information remains classified (including crucial documentation on 1967 from the Russian end), some information was lost or never taken down by the Palestinians in 1948, some remains classified in Israeli or American archives because of political problems revealing it might bring, and almost all of it (if not all) remains behind Arab archives thanks to those same reasons. So lack of bias is nearly impossible with so little archival evidence being revealed in full, a problem Morris and other historians note time and again.

Feel free to check out the two books I mention, the documentaries, and I also recommend Professor Gelvin's audio lectures through "The Teaching Company". Put together you'll get a solid account, though not perfect, of the history. From there, I can recommend more on specific portions of the conflict you may want to read about, but starting with those overviews is good. And if you've started with historians like Finkelstein or Said, keep an open mind: they're not representative of the consensus, which is still morphing but which doesn't agree with their conclusions as of yet, and Finkelstein/Shlaim/etc. definitely don't represent the Israeli or Jewish perspective.