Dyed kimono refers to Yuzen, which is a specialty of Kyoto as well, and woven obi refers to Nishijin's nishiki (brocade), which is considered the most graceful obi of all.
染めの着物とは同じく京都の特産品である友禅のことで、織の帯とは最も品格が高いとされる西陣の錦をさす。