I've used barrels and totes for hauling water. Everyone here, me included, is trying to tell you that, for many reasons, the tote is the better way to go. Cost of strapping down barrels and the multiple fittings and plumbing required Is about equal to cost of a tote. Add that an empty tote is easily removed and you can use trailer for other things and the tote wins hands down.
I assume you can position tote on trailer so it will balance forward and that you have a jack mounted on the tongue to position the hitch vertically. no way you can manhandle a loaded single axle trailer.