I think it would be great if the kagi.com homepage had an input (textarea) box, and then 3 buttons:
Search, FastGPT, or Summarize
So, instead of having to go to https://kagi.com/ to search, and https://kagi.com/summarizer/index.html for a summary, and https://kagi.com/fastgpt, you could do any of those things from one page, simply by clicking one of those buttons.