Flex tines wouldn't remain up due to broken clips.

First, I removed the tines which were still connected to the top rack by the unbroken parts of 3 clips. (The part of the clip which is subject to breakage is the top, where it allows the tines to be clipped up or released and laid down.) I left the broken clips on the rack as a guide to where to install the new ones. I then attached the new clips to the tines, which is like assembling a puzzle. It would be helpful to replace one clip before all 3 break, so you have an illustration, but it's fairly easy to figure out how to attach the clip as long as you realize the tines need to be released and folded down, or clipped in the up position. With all 3 clips attached to the tines, simply pop the broken clips off the rack and attach the tines to the rack with the new clips. I appreciate the advice from the users who warned against breaking the clips with a tool. It's not really necessary to soak them in hot water. My advice is to use only fingers for installation. Brute force is not necessary... just position and pinch.