Welcome to the forum.
According to the
Cumulus Wiki the WMR88 is supported and the network supports data from the realtime.txt file that Cumulus produces. So that side of it is all good.
For starting out and getting an easy website going then Cumulus is worth using as everything you need in included in the download and there's a good support forum.
As for website, try to stay way from the free web space offered by ISP's as this tends to be very restrictive when uploading the likes of weather data that needs frequent updates. There are plenty of hosts around that offer hosting from as little as $10 a year (it's a US company ).
Some have the URL registered with on company and host with another, I keep it all with the same company as it just makes things easier for me.
If you want some pointers as to where to try then let us know and I'm sure you'll get some feedback from the members on here.