I like the bold simplicity of the chevron fabric from Riley Blake. It can go with most any baby theme. I have a rainbow of colors in stock. New moms need lots of burp cloths so make a bunch of these in little time. This post contains affiliate links.
burp cloth tutorial
Tools for burp cloth tutorial
Supplies & Tools
-pre-washed Chinese prefold diapers –
I use infant size 4 x 6 x 4 ply OsoCozy – Chinese Prefolds (Dozen)
-thread
-fabric- 1/2 yd should be enough for 6 burp cloths
Riley Blake Chevron Aqua Fabric 
Rotary Cutter
– or scissors(stay sharp)
-ruler
-sewing machine
-straight pins
-iron(my favorite)
Step
cut your fabric
1. Measure the center part of the diaper. Cut the fabric 1/2 in wider and 1 in longer than the center part of the diaper. I use infant size Osocosy diapers. After washing & ironing, they measure about 10 in. x 14 in. My piece of fabric is 16 in. x 5 in.
iron fabric and cloth diaper
pin the fabric to the diaper
Step 3. Center the burp cloth fabric on the diaper. Pin the fabric to the diaper starting at one of the short ends and then the other and then the longer sides.
Step 4. Starting on one of the larger sides in the middle sew the fabric to the diaper, sewing 1/8 inch from the folded edge. Sew around all 4 sides and back-stitch when you meet the beginning. You might have excess fabric when you get to the second short side, just smooth it out and repin.
Cut the threads and you are finished. Repeat as many times as you want. Looking for a great place to get fabric. I use fabric.com on Amazon.com. They have tons of fabric.
Quick burp cloth tutorial -sewing diy