There is one system I know of that pass the gold standard test (US EPA) for virus removal - the General Ecology First Need filter
http://www.generalecology.com/portablesystem.htmWe probably get at least a significant reduction in viruses from the other decent filters due to clumping and adhesion, but none are certified and I would guess do not do a good enough reduction in the tests to meet "purifier" standards.
Filters will do fine with fallout but there's not much they can do with soluable isotopes. Long discussion and I'm not an expert...
Chemicals... the ones with activated carbon filters will at least reduce the presence of chemicals, but I have not seen any data on how much and for how many liters of water.
Storing water for shelter-in-place is a sure thing. A filter backup and chemical backup to that don't cost much. There are plenty of expedient means of accomplishing most of what you are interested in, but none are what I would call portable.
HTH,
Tom