My driver's side rear bearing is on it's way out. Is that bearing pressed on the axle shaft? Pressed into the rear end housing? Or some alternative? If it's pressed then a shop is in my future as those tools I do not possess. If it's an alternative, I'll be taking it on myself when the time comes.
I think your S10 should be similar to my K10 axles. You should be able to remove the bearing with a bearing puller/slide hammer. You have to pull the axle first, though. So, you will have to open the diff, remove the C clip and remove the axle.