I remember seeing these radios - boy are they old! The ones that are still in good shape are worth money to collectors.
We need to break down your question into at least 3 distinct sources of information, each with their own usages; keep in mind that in the case of an EMP, most electronic devices will be fried (tube driven radios are more resistant to this), so let's hope that never happens :.>.
a. Your local MW and FM stations are going to be key sources of both national and local information (as they were on 9/11), depending on how the station allocates their resources and whether they are part of the larger networks such as ABC, NBC, CBS, etc.
b. You are correct that hams might well be a source of information. You will need a radio capable of 1-30 Mhz reception that covers SSB (and it's not out of the question that some digital modes might get involved, but let's table that for the moment, as it's a very large topic to cover). We have an article from our wiki (links always show up in blue) that will describe some of what is available...
Your First HF Receiver - The RadioReference Wiki
c. I think it's obvious that you would need to keep an eye on your local police / fire, so a scanner - a special type of receiver that scans multiple frequencies - is a must. What kind of scanner you would need depends on many factors, not the least of which is your budget, and the kind of system(s) used in your area. This article discusses several of these factors...
Scanning 101 - The RadioReference Wiki
Mike