Thanks for the info- I'll be sure to get the right hose clamps for this.
Upon close inspection after cleaning, I notice that the one radiator hose I have seems to be deteriorating inside- the outer layer of the material seems to be flaking off, which is strange to me as I expected this silicone material to be pretty much impervious to coolant. Well, I guess 20 years will do that. So, I probably won't use that hose anyway, but the others seem to not be suffering from this issue.