Thank you all for replies, I must say I wasn't expecting to get such a lot of responses to my question! It's great to see how helpful people are on this forum.
I've been experimenting with using masking tape instead of pins where I can, that seems to be working well for simple joints where not much pressure is required, and where I can't use tape I've been drilling holes to push the pins into.
Regarding different types of pin, I'm afraid the pins I "borrowed" from my wife are indeed the glass-headed type, so I've been pushing them in using a small piece of plywood – the thought of having one of those things shattering and ending up in my thumb is too horrific to think about. I've just ordered a pack of pins with large plastic heads from Nexus, they look like a much safer proposition.
So, it's all going well so far.
Thanks again everyone.
Ian