There is a big debate now between traditional hiking boots and trail running shoes. The boots crowd favors ankle support, the idea (true or not) that boots support backpacking better, better stability as elevation changes and the boots ability to handle water and mud better. The trail running crowd favors lighter weight and more comfort, and some are willing to give up the features mentioned above. Or, they don't agree that boots have that advantage.
My advice is that if your hiking is going to be on defined trails with few rocks/roots, either minimal elevation changes or gradual changes, and no expected mud, trail runners are the way to go. Otherwise, I'd take both and wear according to terrain/weather. Packing boots seems like it is adding a lot of weight for no reason, but I'd be hating life if I kept losing my running shoe in the mud.
Whatever you wear, break them in before you leave. Hit a state park or something.