Hi and welcome from North Carolina! You will love this Quilting Board! You'll get all kinds of help and ideas here.
I just throw my scraps into a large tote bag and 'deal with them later.' Actually I do the same with all my stash... in totes, boxes, bins, on shelves, in closets, etc., just in a confused mess. I tried the 'cut into squares' system for a while, but ended up with dozens of bins of squares!
I find that the best approach is to sew them into quilts as quickly as possible and have fun!
