1. Heat oven to 375 degrees F. Into medium bowl, sift together flour, baking soda and salt.
2. In large bowl, beat together butter and peanut butter until smooth. Add both sugars; beat until light in color, scraping down side of bowl. Add eggs, one at a time, beating well after each addition. Add vanilla. Stir in flour mixture. With wooden spoon, stir in both kinds of chips.
3. With floured hands, press 1/4 cup of dough into 3-inch disks on ungreased baking sheets (about 6 per sheet).
4. Bake batches of cookies in 375 degree F oven for 16 to 18 minutes, or until cookies brown slightly along edges but still appear wet in cracks. Let stand on sheets on wire racks 3 minutes. Using thin spatula, remove cookies to racks to cool. Serve slightly warm. Makes about 2 dozen cookies.