Mr. Brotherton is correct. Without the puller or press, getting the axle flange out from the bearing in the wheel carrier and then the bearing from the carrier itself can be next to impossible.

My worst experience with such a task required a hydrualic press (very powerful) to remove a 175K mile bearing from the carrier of a SAAB. I'm sorry for the pessimism and state with respect that the point of the procedure at which you've begun to ask questions is evidence that you may have additional challenges with the meat of the procedure.

One solution is to remove the wheel carrier and bring to a machine shop that can remove the flange, press out the old bearing and press in the new one.

Hopefully, you can prove me wrong and the job will proceed smoothly.

Regards,
Geoff