How to Use CSS Stylesheet code For Different Browsers

http://designkarma.co.uk/blog/using-flexbox-now


http://www.conditional-css.com/advanced


These are few good links you can follow to add conditions and retrieve css links for the pages based on the Browser, as they are more reliable than webkit.
Thanks

for each class in stylesheet
add browser tag like for mozzila -moz-
and for chrome add -webkit-

Reference link is
http://www.w3schools.com/cssref/css3_browsersupport.asp
may help you