How do I make a transfer to another page from ActionHandlers?

To do that you need to return the object of the following format from the client action handler function:

return {
    router: {
        push: url
    }
};

where url is the URL of the page.

Or, you can call one of the following DWKit Global API functions from JavaScript:

DWKitApp.API.redirectToForm("formName")
DWKitApp.API.redirectToFlow("flowName")
DWKitApp.API.redirectToPage("pageName")
DWKitApp.API.redirect("url")