Replacing the rear wheel bearing on a first generation Mazda Protege is a very easy job. No pressing–no special tools of any kind, really–are required. Unlike the front wheel bearings, which require a press or a lot of hammering to replace, the rear wheel bearing comes as part of a bearing/hub assembly (Beck-Arnley # 051-6018).
To replace the hub/bearing assembly, remove the wheel, brake caliper, and brake rotor. The caliper is held in place with 2 14mm bolts.
It’s a simple as that. Slide the new hub/bearing assembly onto the post. Reinstall the nut, then reinstall the rotor and caliper. All told, you should be able to do the job in about 30 minutes.