This is what I use also. I'm not a fan of the BFH method.
Use a GOOD quality separator and a pickle fork. Use the separator to apply pressure, then insert the pickle fork between the joint and separator and hit that. I've never had it fail and you won't have tools go flying across your work area or damage vehicle components.
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You've always the best puller, clamps and such. You also seem to have more knowledge of types and use of anyone, amazingly so.
Personally I don't own or use pickle forks. Just out of concern I'd damage boot or ball joint. Pullers and a few well place taps if needed, have always worked for me. Which I've a 3lb forged brass hammer for tapping.
I did just purchased a new puller that is a bad ass. Which I can put my 3/4 breaker bar w/27mm socket onto it. (need a 3/4 " dr 27mm now)
It will pull lower BJ with wheel hub on. Sweet! But only my old little puller, will pull upper ball joint
Note: Cup press plate, between puller and ball joint stud/nut. It's helps center the puller, by use of the nut. It does NOT press on nut. Nut is thread down, so stud protrudes out of nut just a tad. Cup plate presses on end of stud. We DO NOT want to press on nut, as it can damage threads. Cup, helps spread force evenly and squarly, which is key.
I really "liked" it's smaller brother. But with the smaller puller, none of the OTC cup guild press plate(s) will not fit. Since I always use a cups, it useless to me.
The ball joint, I have the most difficult with. When they're really tight/stuck. Is always the TRE. For some reason that one can be a real bear. My new larger puller used with 3/4" dr breaker bar, handles TRE easily. But I can't use it on TRE, with wheel hub on. Bummer!
@flintknapper If you know of any puller, I can use on TRE with wheel hub on. I'd love to hear about it? It needs to be strong!
The ideal one, would be one puller that gets all 3 ball joints off knuckle with wheel hub on, accepts a socket and is strong enough to take the force a 3/4 breaker bar can exert. And does not damage BJ, boot or brake dust shield.