Black grease paint set with black matte eye shadow should work. Otherwise you can use a creme or gel eye liner as a base instead. A regular triangle makeup sponge should work, as Rangiku12 mentioned. You just use a clean side to smudge/blend the makeup down your face. I would also recommend a flat, synthetic brush to apply the product around the eyes, something like this
. A paintbrush would also work, as long as the handle is short.
Further hints: Wet n Wild sells a black creme liner for $3.99 and matte black eye shadow
for $1.99. Good luck!