At that price, most of the better choices will be porro prism models, since phase-corrected roof prism models (you will need phase-corrected) cost over $200. Here are some good choices. 8x is listed, but for most of these, a 10x model is also available if you prefer 10x. All have good eye relief and the close focus needed for a good birding bino.
Audubon 8x40 Intrepid Binoculars, http://www.opticsplanet.com/audubon-8x4 ... -7800.html
Audubon 8x42 Equinox Binoculars (PC roof), http://www.opticsplanet.com/audubon-8x4 ... s-842.html
Minolta Activa 8x40 WP.FP Binoculars, http://www.opticsplanet.com/minolta-8x40-wp-fp.html
Pentax 8x40 PCF WP II Binoculars, http://www.opticsplanet.com/noname.html
Vortex Strokes Talon Binoculars TLN (PC), http://www.opticsplanet.com/vortex-stro ... ulars.html