There is no evidence Richard killed his nephews. They did disappear from sight under his rule. Some people think they were escaped to Europe. Check out the Perkin Warbeck story. The children were declared illegitimate after it became clear that their father was a bigamist. No way would Richard (as protector of the realm) have allowed a “bastard” to assume the throne. That’s just the way medieval royal minds worked.
Richard instituted bail into England so that commoners would not lose their homes and farms while under arrest (usually arrested by corrupt nobles, btw). He was an outstanding soldier, well-liked by his troops, who stampeded Henry VII at Bosworth while that gentlemen hid behind a tree.
He deeply mourned the loss of his young boy and wife.
He had scoliosis - curvature of the spine; no hunchback. No withered arm, either.
Thomas More made all this stuff up because he grew up in the house of Thomas Morton - Richard’s mortal enemy.
I’ve read a bit on it too
I’m driving in jelly stone right now
But one noble whose name escapes me claimed he did it for III
note I made clear he didn’t do it personally
And that the bard was too hard on the poor fellow
He is oft maligned and now he’s accused of worms
He stood by Eddie too against that prick Neville
IIRC its thought that Thomas More copied out Mortons diatribe against Richard III as a Latin exercise when he was a student. More didn't publish the screed - it was found after his death and may have been mis-characterized by posterity.