I've never done a brake line flush. I'm talking about the pads and rotors only. You need a socket set, most likely a phillips screw driver (because Honda puts unnecessary screws in their rotors that tend to rust shut and require a impact gun to get them out or worse a drill/tap job), a large C-Clamp, potentially a mallet, a tire iron, and another car or a ride.
Take the wheels off, use the socket set to get the brake assembly off the rotors/get the pads off, and then use the screwdriver/mallet to get the rotors off. Verify your local OReillys/Pep Boys/Autozone/etc does turn rotors, and take the 2nd vehicle/ride go get your rotors turned and buy the necessary brake pads.Come back, put on rotors, put on the pads (don't forget the brake-quiet-goo) use the C-Clamp to depress the brake cylinders, reattach the brake assembly, put your wheels back on, done.
It probably looks more involved typing that all out than it is. Very easy maintenance, especially no more often than you have to do it. Unfortunately I think your year Civic has drums in the back instead of discs. Bit more work for that and Im not familiar with it. Of course rear brakes only get like 20% of the wear of front brakes. Front Pads and turned rotors should only run you around 75$ max (for premium pads even), and a dealership might charge you $250.
Hopefully your rotors don't have screws/screws that have rusted so they won't come out. Had that happen with one of the rotors on my wife's Element the first time I tried to do the brake work on it. Fortunately I knew someone who was able to get it off cheap.
