I've spent many years in both kinds of churches, and the fact that I'm not sure how to answer your question
The main differences I see, practically speaking, are
Liturgy: Episcopalians LOVE it, sometimes very classical, sometimes modern-experimental, sometimes rebooting near-forgotten medieval traditions. Methodists have just a token whiff of liturgy by comparison, often feeling more like a Baptist-style service, though with more hymns.
Culture war: Episcopalians almost uniformly despise right-wing culture war and everything related to it. Many Methodists do, too, though on average with a lot less gusto, and there's a larger minority who actually like it. Of course, location of the specific congregation always matters.
As for theology? Neither of them is a church where people are going to insist on a narrow theological lines. They're both classical Nicene-Creed churches, and within that, there's plenty of room. In my current (Methodist) church, we had one Bible study run by a guy who had drunk waaaaay too much propheto-tainment "blood moons! blood moons!" TV-preacher kool-aid; immediately after that study completed, we started a study of Sinners in the Hands of a Loving God. Episcopal churches similarly don't crack a theological whip - in fact, there's an explicit teaching that the church is centered around common prayer, not around common doctrine. It's fine for a congregation to have a variety of opinions on theological details if they can come together, pray together, take Communion together.
Scripture isn't a grab-bag of fortune cookies.It's not to be read in fragments. Don't get your Scripture from the bin beneath a Bible paper shredder. Those verses are real tiles in the mosaic; they're not the mosaic. You don't understand them by means of flushing the rest of Scripture down the toilet.
May I recommend Sinners in the Hands of a Loving God?
Well, according to some takes on Christianity, anyway. The folks at mainline Protestant churches like Episcopal, United Church of Christ, Evangelical Lutheran Church of America (ELCA), Presbyterian Church (USA) (PC(USA)), or United Methodist Church disagree. Why not come visit?
I'm currently reading Sinners in the Hands of a Loving God, which makes a very strong case that the "God has hated you since before you were born" model of Christianity is garbage.
Mainline Protestant churches don't focus their teaching on Hell and don't demand that you have any specific belief about it. We're trying to obey Christ, and we're trusting in God's grace, and neither of those depends on Hell. We expect members to have faith in Christ; we don't expect them to have faith in Hell. (The Nicene Creed mentions that Jesus "descended into Hell", but the "Hades" of the ancient Greek is more like "death" than Dante-derived visions.)
My (United Methodist) church is doing a Bible study right now with Sinners in the Hands of a Loving God, which is really challenging me, and you might appreciate it.