Welcome to AK. If you can handle refoaming drivers, you can handle recapping. Expect to spend an hour or two on each speaker, maybe more since this would be your first.
The basic tools you will need are
- screwdrivers to remove either the woofer or the rear terminal plate,
- a soldering iron and 60-40 rosin core solder if the caps are soldered in place (some speakers, like KLH use wire nuts to join twisted wires, but the Rectilinears use soldered point-to-point wiring). If you have not soldered before, practice soldering using spare copper wiring. It is not difficult. Watch YouTube videos for the basics.
- wire cutters,
- surgical-style gloves and long sleeve shirt to remove and/or work with the fiberglass stuffing (if that is what is in the cabinet). For acoustic suspension speakers I usually pull the fiberglass out and put it in a plastic trash bag. That wasn't necessary for my Rectilinears.
I have Rectilinear III Lowboys, not the Mini.
The first step is to open up the cabinet so you can access the crossover circuit. Identify all the caps. Rectilinear is notorious for building speakers with different sized caps, so it is imperative to verify what caps are being used. Record the uF or mfd values that are being used. Voltage rating does not matter as long as the new cap has the same or greater voltage rating.
I suggest replacing all the caps with metalized poly caps, such as Dayton, Audyn, Solen, etc. The sky is the limit when it comes to cost. I used the lower cost poly caps for my Lowboys. According to post
#7 of the linked thread, there should be a 2.2 uF and a 90 uF cap, but use the values that you have in your speakers if different.
https://audiokarma.org/forums/index.php?threads/rectilinear-mini-iiis-new-owner.788125/
For example, the following 2.2 uF caps are available from Parts Express (I would opt for the Audyn or Solen cap):
https://www.parts-express.com/elect...ylene-crossover-capacitors/capacitance/2.2-uF
A 90 uF poly cap is more expensive and larger than an electrolytic cap, but I believe it is often worth it to use film instead of an electrolytic:
https://www.parts-express.com/Dayton-Audio-DMPC-90-90uF-250V-Polypropylene-Capacitor-027-446