Safe choice or cheap choice?

I'm customizing a cage for my bunny and need plywood to make the base. I'm not too sure if it has to be rabbit safe becuase it will be rabbit proof( covered in vinyl). I'm limited on money and was looking for a way to save, do you think I should go for the safe, even though they wont have acess to it, or the cheaper(still safe, but less)? Please look at the links, THANKS
MORE SURE PLYWOOD
http://www.lowes.com/pd_12192-99899-NA_0+2zabe__?productId=3602778&Ntt=plywood&Ns=p_product_price|0&pl=1&currentURL=%3FNs%3Dp_product_price%7C0%26Ntt%3Dplywood%26page%3D1&facetInfo=3
LESS SURE PLYWOOD
http://www.homedepot.com/p/Unbranded-11-32-in-x-4-ft-x-8-ft-Rtd-Southern-Yellow-Pine-Plywood-Sheathing-166065/100003677?N=5yc1vZbqm7Z12kxZ12kyZ25egxhZ1z0u61bZ1z0ugfvZ1z11605#product_description

Well their both pine and both plywood so their both safe.
Is this going to be something with legs under it like an outdoor hutch? If so I would go with the thicker stuff or brace it for more support. If its going to be directly on the floor then it doesn't really matter.
Since youre probably buying this in person, ensure to hand pick for smoothness and check to make sure the piece you pick isn't de-laminating. Wouldn't hurt to use a water based sealant if you have some around the house just around the edge to seal it and water/pee proof it even with the vinyl.

With the cheaper(but still safe) option, I save a TON of money. THANKS SO MUCH!:yahoo: