Does changing rear gears require you to reprogram the motor?

No, think most vehicles use a wheel speed sensor to feed the speedometer these days. If it's something older that uses output off the transmission output shaft then you might need to adjust something.

No

You most likely would need to reprogram it. I'm sure it'll not like having a wheel speed vs shaft speed mismatch

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Looking at a new F150, would change the gears out after the warranty runs out. It has 3:31, want 3:73.

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It’s 3.31:1 and 3.73:1. Go 4.3:1 or 4.6:1, especially if you have the ecobeast.

Probably cheaper to order it like you want than it'll be to pay for a regear, especially a 4x4.

Or just don't bother with a regear and lose the top 2 or 3 speeds of the transmission when towing heavy. They've got 10 gears anyway.

I went through some bullshite to get the 4.30 rear end from the factory in the F250 I had. In hindsight, totally not worth it. The 3.73's I had in my next truck were fine. Deep ratios make more sense but unfortunately are not popular and are hard to find. Just don't worry about it.

Find one with the 3.55’s and be done with it .

Yeah I remember all the troubles you had with it . My wife had a 19 f150 with the 5.0. I think it had the 3.31. We pulled a side by side on a 16ft tandem trailer with it occasionally and it did fine.

reprogram is relatively cheap. You can buy the programer and do it yourself it isn't hard.