Cut the peony stalks to an 8- to 12-inch length using a pair of floral clippers. The cut should be made straight across the bottom of the stem.
Cut the tulip stems to a length that matches the peony stems with a sharp knife.
Hold a peony in your hand. Hold a tulip at a slight angle and place it next to the right side of the peony. Add three more tulips, one at the top, left and front side of the peony. Wrap an elastic band around the stems to keep them in place.
Place a peony at an outward angle on the right side of the tulips. Add peonies to the top, front, and left side of the flowers you've already secured together. Secure the entire bouquet with another elastic band.
Hold the bouquet in your hand and add tulips around the outer edges of the secured flowers. Tulips will naturally bend downward. Look at the bouquet in a mirror as you place the tulips so you can see how the arrangement looks from all sides.
Wrap the end of a roll of floral tape around the stems in the area where you will naturally hold the bouquet. Wrap the tape around the stems to bind them all together. The tape is non-adhesive but sticks to itself when you pull it tightly on an angle. Wrap the tape around the stems several times. Tear the end off at a downward angle and smooth it against the wrapped tape.
Wrap ribbon around the stems to cover the floral tape and elastic bands. Insert three to five pearl head corsage pins into the ribbon to secure it in place. The pin should be inserted with the sharp points positioned up or down into the center of the stems. You can tie or glue the ribbon in place for two other options.