Get your CFI on where you plan to instruct.
Many years ago I started my CFI at Riddle at there was just way too much extra stuff you had to do for your "CFI Class". Such as building the instructor notebook that you were graded on. As things go, I ended up having to drop out of my first semester of Grad school and that included the CFI program.
(Yes, I got my undergrad at Riddle and this was before the instructors were unionized)
About a year later, I went to another CFI 141 school. There was no filler and BS to the program like at Riddle. Inside of 30 days I had my CFI, CFI-I, IGI & AGI and they offered my a job to boot.
So, unless you expect to instruct at Riddle, I would go elsewhere.