There are many ways to do scrappy. Sometimes you just throw everything you've got together. Sometimes you are very carefully planned and value shaded to achieve specific results.
You are on the right track -- you've identified fabric that is small and that you wish to do something with! I'd say go ahead and spend a little time on what you want to do with it first to determine what you want.
When I first started quilting I did not like any of the scrap quilts I had ever seen. That's because they were "wash" quilts, meant for use and practicality and not about design. When Judy Martin came out with her book Scrap Quilts, it changed my view of what scrap quilting was/could be.
https://www.amazon.com/Scrap-Quilts-.../dp/096029709X
Even though I do a lot of scrap quilting, I still find a lot of it to be rather chaotic. I have a couple of albums linked through my profile, feel free to look. Some more chaotic, some more planned. A lot of them just specifically to use collections of fabric, whether that is size or style or bags from the thrift store.
https://www.quiltingboard.com/member...bums20314.html
For saving your scraps there are many different ways. I started with a hamper I threw small stuff into. That turned into a horrible jumbled mess that I didn't want to deal with. Then I started cutting down into strip sizes, that had a lot of appeal to me but it turned out whatever I wanted was never the right size. I made string quilts/projects. After trying different things for the last 20 years, in the last couple I've decided I simply don't want to save anything smaller than 6.5" x something bigger than a square because "I can always cut down but I can't cut up". I found a lovely crumb quilter through conversations on the boards and a couple times a year I send her a box of my various cutting scraps -- most of which are too big to be crumbs but she can cut down...
It's ok to not deal with the scraps if you don't want to and know you will never do anything with them, then just pass them on. Fold them up neatly and put them in a clear plastic sealed bag and donate them to your local group, senior center, or thrift store and set them free.