All good advice. as a railroad guy, paint the underlayment a very light color, sift the sand on through a sieve into the wet paint. Put on another thin layer and seal it down with clear flat or dilute white glue.
The usual tools for railroad landscapes are a broad brush, tupperware and a mesh strainer like a pasta drainer, the wire kind. And misters from the plant store- cheap plastic ones.
Sand is cheap so practice is easy.
Also, use much lighter sand than the real thing. I used to run around collecting dirt from the area I modeled, but it doesn't look right on a base. There's a scale effect.
Arizona Rock and Mineral makes great stuff.
http://www.rrscenery.com/