Hello Darryl,
We have a very similar component in the Multiselect (demo: https://demos.telerik.com/blazor-ui/multiselect/filtering and docs: https://docs.telerik.com/blazor-ui/components/multiselect/filter). Regarding the other types, you could use a TelerikButton, and add some styling to it, for the action commands (https://docs.telerik.com/blazor-ui/components/button/overview) like filtering, or telling the UI to send a message, for example.
Regards,
Svetoslav Dimitrov
Progress Telerik