SSDs are more expensive than traditional HDDs. With no platter, they are faster, with both lower seek time and high transfer rate. They are also more shock resistant. On top of those advantages, an SSD runs cooler with lower power draw than traditional platter drives.
A hybrid drive is adding a small SSD as a cache for an HDD. This will quickly dump information, for a slightly faster feel, but still lag behind a full SSD in overall performance. This is similar to what some Windows platforms did with using a flash drive to speed up hard drive performance. A hybrid drive has a snappier feel on some applications while being less expensive than a full SSD.
Since SSD drives are lower in price and higher in reliability than they were five years ago, I recommend skipping the hybrid and going straight for SSD.