I haven't used PLC's for many years, but I think you need to use some fairly high-end devices with either
serial of network connection in order to feed them the data. (I suppose that you want this done automatically)
Getting the data off the websites is a project in itself, unless the sites in question offers some sort of very
simple (and static) GUI, or even an API. In any case, I would use a PC for the job.
Lynx is a text based web client, it may be able to do some of the work for you.
Erlo
The data I can take from the websites would mostly likely be in the form of RSS feeds. Weather and alerts are just news broadcast publicly, so getting the streams shouldn't be much of an issue.
Cabe
So all you have to do is to find a PLC with an appropriate interface that can be used to feed
it you data stream.
Maybe something like this: http://www.brodersen.dk/proinfo/data/field.htm
Erlo