Kura Bed Hack

I am a mom to a toddler and a 9 month old and am very inspired by all the projects that I have seen folks make on this site.

I would like to hack the Kura toddler bed that I bought recently to add storage drawers underneath it. This seems like a simple design and I have sketched something very straightforward.

This is what I would like the drawers to look like:
http://www.houzz.com/discussions/40280/What-storage-is-used-under-these…---

Can anyone give me tips on how to get started? I have zero building experience (except for Woodshop 101 back in Middle School.) I also live in Brooklyn, and would like to know if anyone has tips for access to carpenters' tools.

Thanks all!