When both races are out, clean the inside of the hub with some rags. Also make sure the spindle is clean as well. You can even use some carburetor cleaner to do a really good job of cleaning. From this point on cleanliness is important. You do not want any dirt, sand or metal chips inside the hub.
Now that everything is nice and clean, let’s put the new races and bearings in.
Take one of the new races and coat the outside with some wheel bearing grease. This will help it slide into the hub. If you have a race driver, select the proper size and tap the new race into the hub. Make sure you drive it in evenly and do not cock it. If you don’t have a race driver, use your hammer to tap the outside of the race to get it started making sure you tap evenly around the race. When it is flush with the hub, use your flat narrow punch and drive it in the rest of the way. Make sure it is fully seated. The sound of the tapping will change when it’s seated and you can look from the other side to visually confirm this.
Do the same for the other race.
If you don’t have a bearing packer, you will need to pack them by hand. Put a glob of wheel bearing grease in the palm of your hand. Slip the wheel bearing on your index finger like a ring with the wide end facing out. Then tap the bearing into the glob of grease until you see it coming out the other side. When you see it come out turn the whole bearing, don’t just rotate it on your finger, and repeat the procedure until the whole bearing has grease coming out the other side. Repeat this for the other bearings.
Now that we have the races installed and bearings packed, we can put everything back together. Starting with the inner bearing put a bed of grease on the surface of the race and then push the inner wheel bearing into it. Take the new grease seal and tap it into place, don’t bend or distort it. You can use a small block of wood to help.