I took a class...we did a 'patchwork' pillow, all in garter stitch in a nice chunky yarn. I liked it because I got lots of knitting practice, practiced casting on & binding off for each patch, and practice joining.
My first real project was the
Einstein coat in the Sally Melville book, The Knit Stitch. I made it for dd who I think was 2.5 yo at the time & she wore it for about 3 years. It was a great project - not too involved, very forgiving, quick because of the size & straightforward directions. It's the one thing I've made that I can't pass along to my niece

.