You will want to make sure the SSD does not come loose from the internal SATA cable. Plus you don't want the SSD to move as that may pull on the fragile SATA Cable and damage it. It should not be too hard to figure out a way to securely mount the SSD. I forget what the drive bay is like on this model, but perhaps some electrical tape and maybe some foam will be enough to hold it in place. What happened to the original drive bracket? It should work on any standard 2.5" SSDs.
FYI, you should use an OWC Mercury Electra 3G SSD instead for a system that old. Most SSDs today use a SATA III controller which in theory should be backwards compatible with the SATA II controller used by your 2008 laptop, however, many SSDs will not properly auto negotiate the SATA Link Speed so they end up causing problems. The OWC 3G SSD uses a SATA II controller, so it should just work with the older laptop.
FYI, you can post pictures here using the "Image Insertion" tool on the forum editing toolbar which looks like tow triangles and a small circle inside a rectangular box (supposed to look like a picture frame containing a portrait of a mountain scene containing two peaks and the sun/moon). I won't click on any links leading to unknown websites as that is dangerous.