Step 1:
I used standard white copy/printer papers for the sticks of the cage.
Prefold and cut a paper in half.

Step 6:
Use a large round object or compass to draw and cut a circle out of cardboard.

Step 5:
So, 12 round sticks and 2 flat sticks are enough for making the Parrot Cage.

Step 2:
Glue or tape both parts together.

Step 4:
The two horizontal sticks are made of 3,5 paper pieces taped/glued together (see step 1)
They're folded in half a few times, instead of rolled up.

Step 3:
Fold the edge a few times, then roll up into a stick. Use glue or tape.
Make 12 of these sticks.

Step 10:
Glue or tape the edge to the cardboard base.

Step 8:
Glue a piece of colored paper to the round cardboard base. Cut off along the edge of the cardboard.

Step 9:
Wrap / fold colored paper around the cardboard edge.

Step 7:
Make a long cardboard edge for the bottom of the cage.

Step 16:
Glue a flat horizontal stick around the upper part of the cage.

Step 15:
Tie a knot around the top of the cage, I used a piece of wrapping ribbon.

Step 12:
Tape or glue the top of two round sticks together. Repeat with all 12 sticks, so you get 6 long sticks in total.

Step 11:
Valley-fold a round stick on the place indicated by the short line This is where the roof of the cage starts, see orange arrow. Make this fold on all 12 round sticks.

Step 14:
Use the first pair as guidance to glue the other 4 sticks to the base.

Step 13:
Glue the sticks to the base. The first pair is glued into a straight angle.

Step 19:
Fold the circle in half two times and unfold afterwards.

Step 20:
Cut along one of the four prefolded lines (cut to the center). Then glue or tape 2 quarters together. Leave an opening in the center of the cone.

Step 18:
Use a round object or compass to draw and cut a small circle out of a colored paper.

Step 17:
Glue the second horizontal stick around the middle of the cage.