The quilts are made from squares, and you needn't learn quick-piecing methods for construction, because it's easy to arrange the squares side by side and then sew them together with a quarter-inch seam allowance. (See my other baby quilt patterns if you're looking for quilts with more variety in their patches)
Even if you have made a few other quilts, playing with individual squares is an excellent way to become familiar with color value, and value is important, because it controls the pattern that emerges when your patches are sewn together.
This is one (rare) occasion when it's acceptable if your seam allowance isn't absolutely perfect. Come as close as you can, but as long as the seam allowance is consistent throughout the entire quilt, your sewn squares will fit together like they should.
Before you begin sewing a baby quilt, read:
Cutting 5-inch SquaresIf you have rotary cutting equipment, cut long strips of fabric from selvage to selvage, each 5-inches wide. Square up one end of each strip and then cut 5-inch squares from each the squared up end.
If you prefer to cut with scissors, begin by cutting a 5-inch square from rigid template plastic. Use a light or dark pencil or permanent marker to draw around the square onto fabric, butting shapes next to each other. Cut out the shapes.
You might not have to cut at all. Many quilt and fabric shops sell assortments of pre-cut 5-inch squares (and using squares of a size dimension is fine, too).