You probably already know most of the facts from your google search, but to repeat the major points:
Cons:
Cost and capacity. SSDs are substantially more expensive per GB than hard disk drives (though the cost factor will gradually diminish), and current capacity is far less than hard drives (which may be a concern depending on what you need to accomplish).
Pros:
No moving parts -- SSDs have no spinning platters; instead they are based on flash memory. As a result, they use less power, weigh less than hard drives, and can be faster. They also don't "crash" when jolted/dropped and they don't make any noise.
When I bought a MacBook Air I bypassed the SSD option as it was just too much of a premium and I needed the capacity. A colleague did go for the SSD option and it works great with no problems to report. I expect that eventually SSDs will completely replace the hard drive (much the same way that USB flash drives have replaced the floppy disk), but that's still a few years away.
:beer: