Right now, I just read it straight through. Sometimes slowly, sometimes in an attempt to catch up with my "read the Bible in a year" plan.
Occasionally, I come across some very interesting bits that on the surface contradict religious teachings. Like Samuel being channelled by a spiritualist for Saul after Samuel's death (wait a minute, I thought the dead was conscious of nothing after death and I thought spiritualists can only contact demons), or Jehovah, Yahweh, or the LORD sending an evil spirit onto Saul (why is HE sending the evil spirit?) that only David can heal.
I read Bible commentary on it but it inevitably goes above and beyond what is written to explain it. (Like the spiritualist channeled Samuel because God allowed it, where is that written in the passage? Or, the spiritualist REALLY channelled a demon and not Samuel, sorry the passage gave no indication of the being talking to Saul was anyone other than Samuel).
I also read somewhere in 1st Kings where Elijah was called into Heaven. Hmmmm, Jehovah's Witnesses teach that ONLY the 144,000 go to Heaven and that the calling of the 144,000 did not begin until AFTER Jesus's death, burial, and ressurection.
Makes you think.