As the title suggests, I'm just looking for books about puritanism in America. In particular I am interested in how it has evolved over time. Are there any rituals that we engage in today that can be easily traced to what we think of as "the puritans", and what are they?
I'm sure this is a rich topic, I'm just looking for reading material.
Two landmark-albeit-dated books address your questions exactly: Sacvan Bercovitch's The Puritan Origins of the American Self (1975), and Perry Miller's Errand Into the Wilderness (1952). If you're new to Puritanism & want to understand its long, complicated cultural heritage in America, start here. Most contemporary scholarship on American Puritanism nuances, complicates, or challenges Bercovitch and Miller.
The usual (and deserved) critique: Bercovitch can be reductive, treating American Puritanism as an essentialized whole. Miller's "Edwards to Emerson" line of influence has defined entire subfields of American religious history. Both authors treat the Puritans as the first true expression of American-ness, even though most American Puritans saw themselves as part of a transatlantic community, and the "Puritan origins of US nationhood" thesis often generalizes "white British colonists in Massachusetts" as "early Americans." However, I would start w/Bercovitch & Miller. They're fun to read, especially Miller, and most subsequent scholarship on Puritans builds on them (or pushes against them).
Other works:
Janice Knight, Orthodoxies in Massachusetts: Rereading American Puritanism (1994) -- Focuses on the internal theological & political conflicts in Massachusetts Puritanism. Useful for understanding that Puritanism was one piece of the early colonial story, but wasn't monolithic
Philipp Gorski, American Covenant: A History of Civil Religion from the Puritans to the Present (2019) -- Another line-of-influence narrative, but focuses on civil religion & polity
David D. Hall, Worlds of Wonder, Days of Judgement: Popular Religious Belief in Early New England (1990)-- If you're interested in Puritan rituals, you might like this one. Hall looks at "lay" (non-elite) Puritans, who often combined superstition with Calvinist theology and formed their own folk religions.
Hall is a senior scholar and one of the best in early American religion, focus on lived religion. His big, twenty-years-in-the-making book The Puritans: A Transatlantic History dropped last week. I haven't read it yet, but I've heard really good things.