I remember on my '95 Integra GS-R, I never did it myself, but had it done whenever I took it to a shop to get the brakes fluid replaced. Usually a quart bottle of DOT 4 fluid was enough to do both.
The one thing I didn't have done the same time was the ABS, which had a separate reservoir. Every single shop refused to touch it and only a dealer would do it. They were willing to do it with the 12 oz bottle of Valvoline SynPower brake fluid though and that probably saved me $6 off their fluid cost and cost me about $4. I had the factory service manual, and it apparently wasn't that difficult to do physically, which was to attach a collection hose and cycle it several times until nearly all the fluid was out, then replace the fluid. The kicker was that it required a reset with a piece of electronics that apparently only dealers had. That service cost me about $70.