If you stay in populated RV parks you most likely will not have any issue. Likewise if you're right in a town. If you stay in public parks (national, national forests, etc.) in the boonies there is a good possibility you can have bears. Of course, public parks usually won't have any hookups but some do.
Having said that, there are some folks who travel up to Alaska in tents. A lot of it is keeping a clean campsite. Don't leave anything outside..no coolers. Keep everything sealed tight. If a campground has a bear box for storage, use it. With a hybrid you might even want to do your cooking outdoors. There are no guarantees.