Having personally used both, I suppose i can leave my input.
Sony vegas is great for those starting out, very easy to use and its way more affordable than Adobe Premiere Pro.
You can get transitions, and other video effects, drag and drop your projects and also batch rendering is a little simpler in this program.
Premiere pro takes a little bit of getting use to but once you get the hang of it its fairly easy, rendering in my opinion is much faster in this program that with sony vegas, and don't get me wrong you can batch render till your hearts content with this program as well. The only real downside for me is the monthly subscription, But if you pay for the whole creative suite you can easily take your project and edit/ fine tune it within the adobe creative suite, example editing videos in premier pro, adding effects and such in after effects, create thumbnails in photoshop, and render with media encoder.
This is just from personal experience so I do apologize for the lack of any further detail.
As a side not i use adobe for all my projects.