Moves all of the various SigningProviders out of sign.{cpp,h} and
keystore.{cpp,h}. As such, keystore.{cpp,h} is also removed.
Includes and the Makefile are updated to reflect this. Includes were largely
changed using:
git grep -l "keystore.h" | xargs sed -i -e 's;keystore.h;script/signingprovider.h;g'
https://github.com/bitcoin/bitcoin/pull/16227/commits/37a79a4fccbf6cd65a933594e24e59d36e674653
Depends on D6557
Partial backport of Core PR16227