Sounds like you may be better off doing applique circles if you want the fabrics to remain whole circles. I made this quilt that way and it was a great to go project.
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I hand appliqued the 5" circles to precut 6 1/2" squares then machine sewed the squares. For a template, I used a compass and drew a 5" circle on water color paper (same as card stock or poster board) and cut it out. then I used the template to draw my cutting line on the back of the fabric and cut leaving a generous seam allowance. I then did a loose running stitch around the outer edge of the circle and left very long thread tails. I placed the fabric over the card stock template and pulled those tails to draw the fabric around the template, like making a yo yo. Then I pressed well, removed the template starched and pressed again.
At this point you can either hand or machine applique the prepared circles to a background block. So don't bother buying a template, make your own. Don't have a compass? use a lid from a plastic tub like Cool Whip or cottage cheese or saucer or a cup or a glass. Your house is full of circles to use.