Under $100
1. Sony Movie Studio
2. Power Director
3. Adobe Premiere Elements 13
Expensive
1. Final Cut Pro (for macs only)
2. Adobe Creative Cloud (including all kinds of software including photoshop, after effects and more)
If you are a student then you can get the whole adobe suite for $20 a month, regularly $50 a month.
I have not tried all the software I listed I have just heard good things after reading about them on yttalk, but I know most of them offer a free 30 day trail, so you can try a few and see which ones you like. I currently use adobe Premiere Elements 12 but I just downloaded a free trial of power director so I can try something different. And with any software don't forget to look for student discount options if you are a student.
For photos you could try picmonkey.com it is really easy to use but it isn't professional or anything. Photoshop seems to be what everyone uses nowadays. You can get it for $10 a month separate or as part of the creative cloud (see above). Or if you don't want that you can buy Photoshop elements for under $100 which doesn't have as many features.