Ephram is given a nickname by Amy: "Ham", which stands for Hamlet (who Amy thinks Ephram looks like). Amy lets him know that her nickname is "Grover" because he was her favourite blue muppet on Sesame Street.
Bright is deathly afraid of heights.
Dr. Brown's BMW X5 has changed from the one in the original pilot likely due to increased budget once the show was picked up. Changes include: larger wheels, black window trim instead of chrome, no orange tail light markers, squared exhaust tips, & black leather interior; in general his original X5 was a standard model and older, the replacement likely being a brand new 2002 sport model.