Resto basics: Going shopping!

Hi!
Am about to start working on the pipe I picked up at an antique store and need to go shopping. Would greatly appreciate everyone's input on what I'm getting, sources, and if I'll be using it properly.
List

Grain Alcohol- local booze shop

Magic eraser- local Staples

Pipe cleaners (stiff & soft. Heheh)- local tobacco shop

Pipe tool- local pipe shop

Reaming tool- local pipe shop (or just have them do it on premise?)

Sanding Pads- Amazon (1500, 1800, 2400, 3200, 3600, 4000)

Paragon wax- FinePipes.com
Stem first:

Magic eraser on exterior to remove chatter. (or should I use Bon Ami wi/ toothbrush on entire exterior as has been suggested?)

Everclear soak. (for how long?)

Pipe cleaner treatment.
Rest of it:

Ream

Rub bowl wi/ Everclear

re-assemble

Go over the whole thing with Paragon (It's OK to get that all on the bit and such?)
And fatal flaws? 8O
Thanks in advance!

Started today with some shortcuts, er... "modifications" to my original plan.
Close-up of stem with chatter.


The bottom of the stem:


I rubbed the stem with Bon-Ami on a damp paper towel. I had a sinking feeling because it looked like crap afterwards. I then hit it with stiff-bristled pipe-cleaners until they (more-or-less) ran clean. Then soaked it for about an hour in 100 proof vodka. (The vodka came in a little flask and was $6. Everclear was in a 750mL bottle and cost $25. I figured I could always drink the rest of the vodka but there was no way I would drink the Everclear.) After all of that, it looked like hell:

Close-up of the bottom:


Remembering what someone said on another thread, I put a smudge of Burt's Bees lip gloss on it and gave it a test. Looked pretty promising to me!


I went over the whole stem with the Burt's Bees.



I don't think it's as shiny as it was when I first got it (the base of the stem anyway). Will sanding and paragon remedy this?
I also did a quick rub over the bowl with the vodka but it almost seemed like it was taking the finish off so I stopped. Also scrubbed the inside of the bowl a bit with vodka-moistened cottonball. Then did Burt's Bees to the outside of the bowl as well.
This is how it looks so far:


I don't think it's vastly improved from before but I am fairly confident I've got the cooties out of the bit.
Should I bother with the sanding pads at all or will the paragon take care of making the thing a bit shinier?
Thanks for the support!

Thank you. I got the pads from the first link and wet-sanded it.
I had used Bon Ami before. Is an Oxi-Clean soak better? Should this stem be black? :?:
Took me about 1 1/2 pack of stiff-bristled pipe cleaners to get the stem clean. Used Q-Tips for the mortise after I read that a lot of nastiness resides in there. I actually didn't think the pipe stunk too bad when I got it but now, it's like night and day! Now it smells pleasantly tobbacco-ish rather than a tar pit! Ha!
I got a cheap reaming tool but it didn't seem to get the gunk out of the bowl the way I wanted so I used a pocket knife to gently shave off the deposits in there. Also gave the inside a good rubdown with vodka-soaked paper towel.
Received Paragon wax today and shined it up. It ooks nice and better than before but not as shiny as I was hoping. Will probably give it another coat tomorrow after I tackle the stem again.
Thanks for the advice. (Intermediate photos tomorrow)