  We explore the benefits of adapted gauges to small mass ratio binary black
hole evolutions in the moving puncture formulation. We find expressions that
approximate the late time behavior of the lapse and shift,
$(\alpha_0,\beta_0)$, and use them as initial values for their evolutions. We
also use a position and black hole mass dependent damping term,
$\eta[\vec{x}_1(t),\vec{x}_2(t),m_1,m_2]$, in the shift evolution, rather than
a constant or conformal-factor dependent choice. We have found that this
substantially reduces noise generation at the start of the numerical
integration and keeps the numerical grid stable around both black holes,
allowing for more accuracy with lower resolutions. We test our choices for this
gauge in detail in a case study of a binary with a 7:1 mass ratio, and then use
15:1 and 32:1 binaries for a convergence study. Finally, we apply our new gauge
to a 64:1 binary and a 128:1 binary to well cover the comparable and small mass
ratio regimes.
