  We describe a simple family of analytical coordinate systems for the
Schwarzschild spacetime. The coordinates penetrate the horizon smoothly and are
spatially isotropic. Spatial slices of constant coordinate time $t$ feature a
trumpet geometry with an asymptotically cylindrical end inside the horizon at a
prescribed areal radius $R_0$ (with $0<R_{0}\leq M$) that serves as the free
parameter for the family. The slices also have an asymptotically flat end at
spatial infinity. In the limit $R_{0}=0$ the spatial slices lose their trumpet
geometry and become flat -- in this limit, our coordinates reduce to
Painlev\'e-Gullstrand coordinates.
