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This CL is part of the Code Health Rotation, and converts
base::Bind, base::Callback, and base::Closure to Once/Repeating as the
code context dictates. It also replaces 'typedef' with 'using' in
several places adjacent to other changes.

Bug: 1007635
Change-Id: Id5cb1bf95d408dfb67cc92ea2cc636598d0b5262
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2626767Reviewed-by: Andrey Kosyakov <caseq@chromium.org>
Commit-Queue: Cammie Smith Barnes <cammie@chromium.org>
Cr-Commit-Position: refs/heads/master@{#844204}