Roll your paper into a cone and adhere with hot glue
Cut off the top so it is level, if you would like
Trim your flowers so that they will just peek out of your cone
Get a piece of paper towel wet and wrap around stems. Place the stems in a plastic bag and secure with rubber band. Trim the baggie so that you won't see it in your cone.
Place the flowers into the cone
Use some pretty ribbon to make basket handles - I used my hot glue gun to glue them to the sides but you could also use a hole punch and tie them
Tuck a card, gift tag, or special message into your May Flower Basket
You could also add tissue paper or easter grass to your basket as a pretty way to dress it up.
Notes
I used assorted bunches from Trader Joe's but you can also get them from your local grocery store.