FYI, if they are bad caps, RAM, ICs, resistors, etc., you can just clip the leads at the base with needle-nosed wire-cutters and then simply pull the pins one at a time. No need to delicately de-solder or risk exploding caps!

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Can this really be done with the little aluminum electrolytic caps?

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No, it cannot be done with SMD caps (which are the majority of caps on an SE/30 logic board).

At some point you will need to wade through the mountain of advice presented in this thread, and just select one method presented by someone who has successfully done cap jobs before. "Tyler" is someone other than myself who I know has done many boards before, but he has yet to respond in this thread. Even so, the information presented here is sufficient for you to get the job done. And as far as I am concerned, I can only report what worked for me (being no novice to working with and repairing electronic devices).