I use photos and video clips and music to create travel videos and am looking to upgrade from the free editor I have been using. I am no expert at video editing and would like to be able to create something interesting to look at without having to study long and hard to get there.
It sounds like both these programs can accomplish it but which one would you suggest and why?
Premiere Rush is new to Adobe's video editing group. It is designed around the idea that your video will start with a phone or tablet. You shoot with it and do the initial editing. Through the cloud servers, the projects will link to your other devices and your computer for further work. Additionally, Rush projects can be imported into Premiere Pro for the highest level of editing. In other words, Rush is targeted at those "rushing" a video to YouTube and then polishing it for replacement later. It costs $10 per month.
Premiere Elements is a traditional computer based editing system. You transfer you camera photo and video files to your computer and import them into a project. As a traditional editor, more tools are available. Music tracks are a strong point. One time cost is $100 but on sale a couple times a year for around $65.
I use Premiere Elements because it is more flexible with more options. When I've tried Rush, the link from phone to computer is very slow. With Rush if you want more effects, transitions and controls you ultimately need to open the project in Premiere Pro. If your projects include Lightroom processed photos, there is a work flow with Premiere Elements to accommodate RAW photo files.
Rush, as Bill says, was designed primarily to work across platforms -- so you could start editing on your phone, then move to your computer, etc. You can even open Rush projects in Premiere Pro if you find it's too limiting.
But Premiere Elements is a full featured consumer editor. If you really want to EDIT (as opposed to just throw video together) it's probably more like what you're looking for. But download the free trials of each and test drive them before you make a final decision. (Or check out my free Basic Training tutorials for each on YouTube.)