What kind of fiber were you thinking of? Acrylic? Cotton? Wool? Acrylic and cotton I know, wool not so much for babies. I usually make blankets that are washable for kids.
Here is an easy pattern I found that I thought I might try next time I need a baby blanket:
I was also thinking of knitting different color squares and sewing them together.
What type of fiber? Do you want to buy it at a local store like Michaels or Joanns? Or are you going to an LYS or buying online. It makes a difference in suggestions. I agree with Craw that washable is usually best for babies. All cotton tends to be heavy so I’d use a blend if you want cotton. Chenille is okay if you don’t mind knitting with it, but make sure you choose a pattern with no detail since it hides your stitches.
Here’s some more simple and quick blankets. I’m giving you links to Ravelry so you can see what other people have done or used.