It kinda depends on how old those discs are, the new one park the read/write heads when not in use, it's usually the read/write head 'bouncing' off the data platters that causes damage.
Without actually destroying the platters an "expert" could remove any data you had on the drive.
I believe some specialist knowledge would be required to actually get you card/bank details off the machine, it's not just a case of a quick browse ant "ta-da" the details are discovered.
The best (home) way to make sure you've destroyed the contents is to drill a hole through the casing (missing the electronic's), then plug it back into the power, to spin it up and completely trash the platters with the swarf.
If you don't fancy that, at least run Darik Boot 'n Nuke software to give you a fighting chance of detroying the drive contents.
Darik’s Boot and Nuke – DBAN