You can turn as easily on straight needles as on dpns or circulars -- it's the same for any sort. You're basically switching which hands the two needles are in; the stitches that remained on the left needle are now on the right needle (as though they were stitches you'd just done), and you knit from left to right.
In terms of which you'd need for the project -- is it the sort of thing where there's sewing involved at the end, or does it say something along the lines of "join stitches"? If the first, and if it looks like you knit a flat piece and then sew it into a glove shape, you're okay with straight needles. If the second, or if it mentions working in the round, you'll probably need double-pointed or circular needles.