For sax, I mostly use Premium Deluxe from Music Center. I sometimes use Pro and Mypads also. I just compared these by pressing my finger (not so scientific...) and seems that PRO is about the same firmness as Precisions. Precisions and white Roo pads were pretty much the same (sometimes Precisions actually felt firmer, hard to say). PD is close but a tiny bit softer maybe. Mypads is slightly softer.
For clarinet I use Kraus 101 (also made by Music Center), Premium Deluxe and Mypads. These are (respectively and relative to each other, not others) hard, medium hard, medium to medium-hard. Precision woven felt pads are softer than Mypads.
But to be honest if you have to install pads on non-leveled tone holes on a Bundy II I might try especially softer pads such as the specific models made for this purpose by Prestini.
I strongly recommend the Jim Schmidt diamond tonehole files sold by Music Medic. A set for alto and tenor sax is only $160. I would also recommend the set of 7 extra pilots for and additional $35. For just under $200 you will have everything you need.
I also recommend this set. I would also recommend the extra plastic pilots. It's annoying to use some of the files as pilots. But one thing, if you order this, make sure to ask for more hex screws, at least one for each file. The set comes with only two I think. It's very annoying to constantly move them between files. I was very surprised my set came with so few and when I ordered more, it was less than $1 if I remember. I would prefer they raise the set price slightly and just include more of them.
Re not worth installing pads without leveling the tone holes, some people just can't afford even $160 for this, it is a significant expense. Sometimes the best is to do what's possible in a situation.
Does anyone have experience with the "My Pads" sold by Pisoni? There is currently a thread on SOTW where these pads are extremely sticky on a Buescher.
Yes, I have some stock of these and use them occasionally. I found they are not especially sticky in comparison with most other pads. I certainly haven't had a sticking problem with them. Roo pads (both white and black) are known to be non-stick and I've seen saxophones with them which had sticky pad problems.