Was gonna mention pretty much what Flip did. At first it didn't make sense to invest in a 5 yr CD...due to fluctuating interest rates.
I did not think of splitting it up into 3 months, 6 months and 1 year CD's, seems like a good idea, but can have it's disadvantages. What if the 3 month CD is earning the most interest? I was going to recommend doing a 6 month CD and keep finding the best interest rates as times go on.
In all honesty, if you look at it from outside the box, it's a gamble no matter which CD you go with, because you won't know which one will have the higher interest. HOWEVER, the big however, you are not losing anything. Any bit of money gained is extra money you would not have gain had you not invested in a CD.
Splitting into 3 CD's I think is a good idea, but you are going to have to be on top of it every 3 months. Great experience for you though.