@Mtt You might consider the Bear app. It’s only available on Mac, iOS and iPad (web access is in beta), but checks most of your boxes. Great search tools (it searches inside PDFs and images), easy organization via tags and nested tags, and terrific export capabilities. Web page capture via its new Safari extension is great. And the overall design itself is beautiful. It doesn’t allow you to forward emails to it like you can with Evernote though.