In my experience, the front (pulley end) alternator bearing is the most difficult to replace.
When you disassemble, the rotor comes out with the end bell. Most of my experience is with Delco alternators and the bearing is retained by a metal plate on the inside. To get to the screws that hold this retainer plate, you must press the rotor shaft out of the bearing. This is tough to do without damaging the alum. cast end bell. You need split bearing puller plate to go between the end bell and the rotor, then a two or three leg puller or arbor press.
If I have noisy front bearing, I take it to the shop or get a rebuilt one. However, these are becoming even harder to find. Replacement, new alternators are all that the parts stores now have.