Almost everything requires batteries to work at this point, but the downside is that they don't last too long and end up dying at moments when you need them the most. On long vacations, you may use your items more than usual, so bringing rechargeable batteries would be a great idea. This will also guarantee that you can keep everything running seamlessly without having to spend your cash on disposable ones.
If you're traveling for quite some time, your first instinct might be to bring disposable batteries for your items, but rechargeable ones are actually much more convenient and affordable in the long run.