I personally believe that distance is a great ally during an outbreak, and being a gunsmith I do love guns, however they are loud, require frequent reloads and after the ammo is gone you now only have a bludgeoning weapon. Blades on the other hand, good ones, do not require reloading, only an occasional sharpening, while you may be at a distance of 2 or 3 yards during an attack as opposed to the 20 to 1000 yards you may be at with a firearm you still have the advantage of multiple kills with a single stroke (in the proper hands) and is much quieter for those covert ops. The other choice for a ranged weapon would be either a sling shot which may be underpowered for many situations or a bow/crossbow, however these still require practice and ammunition. If I were able to carry a firearm and a blade I would carry a Marlin 749 auto loading .22 rimfire rifle (because they make after market 100 round drum mags and they are very accurate) and a Katana because I have the most experience with this type of bladed weapon. If I had to ditch one it would be the gun though.
Regardless of the foe, the most effective weapon for personal protection is the firearm. A blade is an extremely effective weapon -- and I've talked to a lot of vary foolish gun owners who refused to recognize this fact. It remains, however, a very distant second to the firearm. That is to say, while a well-made and sharp knife is a very useful and potentially quite lethal tool, it is not as effective as a firearm and the gap between the two is very great.