Here's an easy pattern I use all the time, using baby yarn and size 5-8 needles to adjust size from preemie to newborn. These take me about 1 1/2 hours for a pair.
Cast on 32 stitches
Rows 1-6: Knit
Row 7-12: Work in stockinette. (K 1 row, P 1 row)
Row 13: K2Tog, Knit across row
Row 14: P2Tog, Purl across row
Row 15: BO3, Knit across row (To include an optional eyelet, "YO, K2TOG* across remainder of this row)
Row 16: BO3, Purl Across (Same if doing eyelets).
****You will have 22 stitches at this point*****
Work 18 rows in K1, P1 ribbing, Bind Off all 22 stitches.
Fold bootie in half, seam from back edge of sole, around the toe and up the cuff.