I read the Little House books many times as a child; I enjoyed them and they led me to ask lots of questions about the historical time period. But, like most autobiographies, they lack context, both because of a common tendency to clean up the ugly bits and because by definition they are written without much perspective about the era.

Laura Ingalls Wilder wrote a successful newspaper column about farming and domestic life for nearly twenty years before she began the biographical novels. Therefore, those were the topics she was most experienced writing about and she began writing about them while her memory was much fresher. It sounds like you might be most interested in day-to-day details, and her books are fairly consistent with other sources I've seen. If you want some related entertainment, I and many of my childhood friends can recommend the Little House Cookbook: not by the same author, sadly, but genuinely not bad food.

The religion and social mores are only partially representative of the era. Regular bible reading and church attendance were common, as were the moral aphorisms; for example "cleanliness is next to godliness" also appears in Tom Sawyer by Mark Twain. But because the frontier drew settlers from all over Europe, there were a wide variety of Christian sects forming small enclaves and many families chose to worship at home rather than assimilate into the local church. The Ingalls family followed a rather fringe religion (the traveling pastor who repeatedly visits them in the books was actually a known grifter driven out of several posts) and Pa was a very strict patriarch even by the standards of the period.

On the other hand, her books do not include the way her family's story is entangled with colonialism. The homestead act is only mentioned when the men use it to claim land. Indians only appear as strange and usually hostile non-characters. But the recent book Prairie Fires by Caroline Fraser provides very detailed explanation of how the homestead act, the railroads, and the population boom of farming pioneers caused ecological destruction and exacerbated the native Americans' suffering and conflict. If you are interested in seeing the place and time historically and not just through the eyes of one child, it would be excellent follow-up reading material.