my details … which I may have to recount for them.

That part isn’t so bad. You should have a set of work stories about how awesome you are, that you make sure to tell them. (i.e. the project you single-handedly saved, the problem coworker you were able to get along with, the impossible deadline you met, etc.) Then it’s just a matter of figuring out which story to start off with, and ideally it turns into a conversation. “We were using XYZ system on ABC machines, you do that here too?” “Oh yeah that system sucks, one time…” etc.