I'd suggest checking out any sort of "Clever Dripper" style of product if you're wanting to give pour over or french press a go. I love the idea of french press, but REALLY can't stand the sediment. I use my french press a couple times a year and always think I'll be fine with the sediment... and I never am.

Pour over is my personal favorite taste wise, but definitely takes a bit more finesse and effort. More so than I'm sometimes willing to put in at 5:30 in the morning when my alarm goes off.

Imo anything like the Clever Dripper is a perfect middle ground. It's an immersion brew, BUT it's paper filtered so you don't have to deal with the sediment/silt of a french press. It also takes less effort than a pour over. I tend to do what James Hoffman recommends, and it pretty much always works out well.

I'd say the only real downside to it is that you can't make quite as much as you can in a larger french press, but pour overs also tend to have that "issue" depending on what you're using. If I'm making coffee for more than just myself, though, I tend to use my drip machine.