In my opinion, please don't do it!
When I began quilting some 30 years I, too, had (only one, granted) a little one at home. But that time does actually go by so quickly, and you will still be using some of that original fabric years later. You will come to the place where your method of quilting will change; you'll go through various phases - applique, or Amish style in solids, or landscapes, or contemporary quilts with lots of 'negative' space, or loving civil war reproductions, etc. You'll begin to design your own quilts; or you'll take classes for a specific project that you want to make in a different color than the shop sample, but where you can use lots of your own stash.
If your collection of fabrics is cut only into certain shapes or sizes - such as everything into fat quarters/fat eighths/squares - you will be limited to what you have on hand when you need to really use something in yardage.
If your stash has many small pieces of fabric, that's a different story and you may find that it *would* help you for the present to just cut it into 2.5" strips, 6" squares, and 3" squares. Lots of patterns can use these sizes, including making half-square triangles.
For example, I've been collecting 2.5" strips in a clear storage box for 30 years and it's my first go-to when I need to pull fabric for log cabins, 4 or 9 patches, string piecing, triple rail blocks, and many others. I get these 2.5" strips from squaring up the end of yardage when I first begin cutting; or when I have a piece leftover from another project; or from leftover binding. I also happen to collect strips from 1", 1.5", 1.75", 2", 3", and 3"+ in boxes on my fabric shelves. But those sizes came as the years went by and I had more and more remnants from projects. I also collect 3" squares, 4" squares, left over half-square triangles, plain triangles, and 4 patches of various sizes. All of these boxes are pulled from for current and future projects.
So, again, if you have 1/2 yard and more of certain fabrics, I urge you to keep them in that yardage and just cut up those that are smaller or are 'mis-shapened' - with chunks cut out of them already.
Bless you with moments to yourself during this time of mommy-dom; they need you so much and the time will pass all too quickly!
Jan in VA