Yes, thats a lovely idea.
Some others more experienced will come along Im sure, but as far as I know, you`ll need to buy backing fabric (unless you plan to have the patchwork on both sides). And buy some 'batting' which you get from spotlight etc in either cotton or polyester. Its the sheeting that goes in the middle of the patchwork and backing.
Um, you might want to get some binding for the edges, but not nessacary, and Im not sure about needles - depends if you`ll hand sew or machine it.

What pro quilters use to get even pieces of fabric is a cutting mat/board, a quilting ruler and a rotary cutter. You can do without these but the job will take alot longer and be more fiddly probably.