Chariot wheels found in the Red Sea predate the Exodus. Chariots that were not destroyed in the Red Sea post date the Exodus.

http://www.gutenberg.org/files/17324/17324-h/v4c.htm

The oldest well preserved horse drawn chariots that have been discovered by archaeologists date back to the Hyksos period.  Rather than suggest that the Hyksos introduced chariots to Egypt it would seem more likely that the Exodus immediately preceded the arrival of the Hyksos.