The byproduct of the reaction is sodium sulfate, so I filtered this off, along with the excess water, using simple coffee filters. When the copper carbonate dried, I was left with a robin's-egg-blue powder. To transform the copper carbonate into copper (II) oxide by releasing CO2 gas, I heated the powder in a soup can. My hot plate wasn't hot enough, so I put the can in a bonfire for 15 minutes. When everything had cooled, I was left with a dark black powder--the copper (II) oxide. I also noticed some pink inside the can, so I wonder if the fire was somehow reducing some of the copper oxide back into copper metal.
Untouched, the copper oxide would probably work. I have heard that copper thermite is very energetic, so it probably doesn't require extra fine ingredients. However, I want the best performance from this reaction, so I milled the powder by hand using some steel ball bearings in a plastic jar. Shaken enough, the bearings break up any clumps. I also ran a magnet in a plastic bag over the powder to remove magnetic particles that came from the soup can. I was left with 55 grams of fine copper (II) oxide powder for an exciting thermite reaction.