""It's been fun watching you guys/gals play in the magical nuclear garden. I can see how, with just one hit off the 'nuclear crack-pipe', an engineer could be hooked for life.""
i understood your metaphor.
to your question --
2cps gives reasonable assurance that your instruments are working so you're not attempting to start up blind. 20 or 200 would be better.
as you approach criticality by whatever means , the subcritical multiplication increases and count rate goes up. you do this gingerly and wait between changes for it to settle, likely plotting on graph paper so you can extrapolate expected critical point which you approach real cautiously.
every time you double the count rate you have moved halfway to critical. you stop often and check to make sure it's behaving as expected. when you finally get critical the counts increase on their own and if you did a good startup, slowly.
since the subject interests you , ,,
see if your library can get you Freeman Dyson's book "Disturbng the Universe".
https://www.amazon.com/dp/0465016774/?tag=pfamazon01-20
He's aboout the last living Manhattan Project scientist and the book is semi-autobiographical. you still see him on tv occasionally and I'm surprised the industry has not got him to speak on Fukushima. What a great guest for the NOVA show! maybe i'll write to them..
here's some old timers' reminiscences of the "good old days out in the desert" you can read online.
http://www.osti.gov/energycitations/purl.cover.jsp?purl=/6294929-xawLBY/
bon appetit