@MartinM, there are actually few caps on the tuner board that have any effect on the audio (maybe half a dozen), so that is a quick job!
Regarding static electricity or ESD, the most sensitive devices are digital ICs and MOSFET transistors. Early MOS technology ICs (from the 70s onward) didn't have very elaborate internal protection, and some of them will be destroyed if you give them a bad look! A BM3000 has none of these (perhaps leave the tuner front end box alone, as there's nothing worth recapping in there anyway as long as it works) so it is a pretty safe subject for learning.
That doesn't mean you should be careless though - in addition to what's already being said, keep the cats away, and perhaps avoid the work during the coldest days in central heating season when the air is very dry (for our UK readers: central heating is a system that keeps your house warm and dry
)
This BM5500 (and the rest of the series) CPU module on the other hand belongs to the things where you have to be very careful. On the 5000 for example, both the CPU and the I/O expander chip contain mask programmed ROM, and you can't get spares anywhere except from another 5000!