The standard reference is Fulton, and perhaps SGA6.
Copy of course notes from Lausanne.
Some really good things are found in the K-theory handbook, notably Gillet: K-theory and Intersection theory, and Geisser.
http://mathoverflow.net/questions/52665/survey-article-on-intersection-theory/
http://mathoverflow.net/questions/26815/deformation-to-the-normal-cone
nLab page on Intersection theory