Rear brakes - do I need the cube tool? And other brake questions

I will be doing my rear brakes soon. Trying to get everything ready before I start. I was wondering if I really need the cube looking piston tool, or if I can use one of the parts store loaner brake tool kits? For example, these:

https://www.oreillyauto.com/detail/c/evertough/tools---equipment/loaner-tools/brake--tire---wheel-loaner-tools/749f067e140e/rental-tools-evertough-brake-caliper-tool-set/ren1/67090/

https://www.autozone.com/test-scan-and-specialty-tools/brake-tool/p/oem-loaner-disc-brake-caliper-tool-57111/298604_0_0

Advance Auto Parts - Down for Maintenance

I'm thinking I can just use the square drive tool from one of these with one of the circle attachments that has the pins sticking out? Would that work?

Also, I'm thinking to first take the rotors off and take them somewhere to see if they can be resurfaced. If not, then I can order new rotors with new pads. I don't want to buy new rotors if my current ones can be resurfaced, but I also don't want to order just the pads, then start on the brakes only to find out I need to order rotors as well.

Will need to do a brake flush/bleed as well. My brakes have been spongy for a while, and a lot of times I can feel a sort of single kick/thrust and hear a spongy rush of air when I get down to around 12-8ish mph while braking (is that when braking shifts from regenerative to mechanical?). For a bleed/flush, does fluid brand matter? Or will I be good as long as I use DOT3?

I attempted a flush previously, but either I didn't do it properly, or maybe I need to bleed the ABS module? I had a brake booster issue in the past (DTC C1345), and ended up just replacing the ABS module with the master cylinder -- not the accumulator -- due to financial issues at the time. I bought a used part (has the newer part number on it, not the old one) off of eBay and went to a local mechanic for the repair, but I don't know if he bled the ABS. Brakes work fine other than the pump running pretty often as well as the sponginess. I believe last I tried to check, the ABS bleed requires a scan tool? Is there another way someone can.point.me towards? I did get a mini-vci cable with Techstream a while back, but was unable to get Techstream to fully function, and was missing a lot of the buttons and functionality. I guess if someone could point me towards a more recent Techstream guide that has worked for people, would appreciate that also.

Other than that, any tips, or anything else I should work on while doing the rear brakes? Maybe inspect the parking brake or something? Never done that before, but if there's a guide for that, I could follow it

 

The relearn procedure was run multiple times, by different shops, but it would just fail the relearn. I took the car to the dealership too at one point,thinking that they would cover the repair under the brake booster program. They did say the brake booster would need to be replaced, but it wouldn't be covered by the program due to not having the right DTCs thrown

 

Yeah the cube tool is cheap, but I just don't want to buy another tool and have it lying around, especially for how infrequently brakes need to be serviced on the Prius.

Btw, I was thinking of replacing the pads and rotors all around, but not sure what brand to go with. Was gonna go with Advics from RockAuto, but I can't find the Advics front rotors in stock

 

Can you describe the set up with the rental? I'm guessing you use a 3/8" drive with the little piece, then another one of the circle pieces goes on top, then that goes on the piston?

 

Ah okay, so just the main piece, with none of the attachments. Didn't even think to use it like that. Wait, but where does the wrench go?

 

Still haven't ordered brake parts... Might go with Akebono ProACT Ultra Premium Ceramic pads, but not sure about rotors.

Who are the manufacturers for OEM pads and rotors for the gen 3?

 

From looking around online,it seems like Advics is the manufacturer for the OEM pads, not sure though. Didn't see much info about the rotors

 

Surprisingly could not find a post with a complete list of part numbers for a brake job. Maybe I didn't look hard enough, or I'm just bad at searching these things up. But anyways, if I were to go with all new OEM parts, is this the correct list of part numbers for a 2010?

Front:

1. Disc Brake Rotor (Front) - Toyota (43512-47040)
2. Brake Pads - Toyota (0446547070)
3. Disc Brake Pad Shim Kit - Toyota (04945-47020)
4. Disc Brake Anti-Rattle Clip Set - Toyota (04947-42050)

Rear:

1. Disc Brake Rotor - Toyota (42431-12310)
2. Brake Pads - Toyota (04466-76012)
3. Disc Brake Pad Shim - Toyota (04946-12090)
   1. I also found these, not sure which ones are the correct ones for my car: Brake Pads Hardware Kit - Toyota (04946-47070)
4. (Anti-rattle clips I think) Brake Pads Hardware Kit - Toyota (04948-47010)

 

Anybody able to confirm the part numbers I have above?
Much appreciated