|Ceres and Vesta|
Right now, two of the biggest asteroids are fairly easy to spot, being located high in the night sky and nearby a variety of easy-to-locate landmarks. There are good articles with additional details on the web, including Sky & Telescope and MSNBC Space. The MSNBC article has some very simple diagrams showing the exact location of the asteroids Ceres and Vesta, as they wander through the constellation Taurus. Using binoculars, they should stand out as fairly bright points of light and be distinct against the backdrop of stars in Taurus. I am not an 'asteroid hunter' and don't have lots of experience finding these, but I have used binoculars and telescopes to find the faint outer planets Uranus and Neptune, and anticipate that Ceres and Vesta will be similar. I'll report findings here on the blog comments.
The NASA spacecraft Dawn is on a mission to visit both asteroids, having already orbited Vesta and now is en route to Ceres. (Note: although Ceres was historically classified as an asteroid, it has recently been reclassified to a Dwarf Planet, just like Pluto!)
Image courtesy of Sky & Telescope.