Weathercloud will accept your uploaded data from WeatherCat and display it in the Weathercloud template on your browser. In order to do this, all you have to do is create an account with Weathercloud and then copy your Weathercloud ID and your Weathercloud Key to the Weathercloud service window in WeatherCat Preferences. I do not know how to re-create their template on your Synology server. But on their website it states: "Weathercloud is highly versatile and lets you choose from deploying the platform on your own server infrastructure or take advantage of our cloud services for a more cost-effective solution." I suggest you contact Weathercloud to ask them about this.
hello@weathercloud.net