Just a thought. We looked at using a borated shield here too, as we sometimes have pretty serious neutron output. Well...we didn't wind up using it.
Here's why.
When boron captures a neutron, it emits gamma rays, some pretty hot. When you calculate the thickness of lead needed to stop these extra hot gammas (which are hotter than what I've measured from a fusor) -- well, lets say the price of the lead alone is an inhibition. Converting a 2.5 mev neutron to a 4.44 MeV gamma is not exactly "winning the game" or so it would seem.
As Richard H says -- the square law is your friend, and one of the best shields ever in practice, usually. I would postpone that worry until after you have enough neutrons for it to contribute significantly to total exposure. Far more of the input energy comes out as X rays and gammas, so the lead is the place to start. Here we see copious X rays at the PS voltage, plus a bunch of higher energy ones that are evidently created in the fusion process -- by products hitting the tank walls or something similar. Lead of course also captures some neutrons and makes gammas as a result. Check out things that might be in your system here. http://www.nndc.bnl.gov/capgam/indexbyn.html
Hot neutrons are supposedly worse than cold ones -- but that's an easy thing to handle, and only a couple of inches of HDPE (or a little more of wax or oil, or water) will slow them right down.
Here's a link to the multiplier vs neutron energy. As you can see, just making them thermal cuts the effective exposure way down. The multiplier is used in the formula here. Look at Sieverts in this link.
So a rational plan might be to worry more about photons at first, then neutrons once you have more success. I believe in betting on "winning" but unless you are *very* successful, photons are going to be the main issue. Look at it this way -- we put in perhaps 400w, most of which becomes heat and X rays. About one microwatt is fusion output (the run you saw here was about these numbers), and some fraction of that is neutron output (the rest is high energy gammas). Human damage, to a first order, is related to how much sheer energy is deposited in the human. Most of the fusor output energy is not neutrons. In all cases, distance is your friend. So are short exposure times. I don't run my fusor all day or even every day...and I calculate that I am at most doubling my net radiation dose over background levels, which is my personal target, based on nothing but my intuition. The government allows for a heck of a lot more.
For what it's worth, the other day I put our neat little military Canberra integrating rad dose meter (it sees neutrons too) right inside the shield at the fusor during a run. The peak reading was 2.47 mrem/hour, or 24 uSv/hour, but I only run for about 10 minutes in a given session. So 1/6 of 24 uSv is my dose on a day I run -- if I wasn't behind 1/4" lead plus that lead glass window. That measurement was on the hot side of the shield.
A chest X ray on the above chart is 20uSv, but I'm getting something less than 4uSv/run (shielding gives me much less than that). As you saw, it's not that big a task to get exposure down to what most would consider a reasonable level. X ray shine-through the unshielded tank only starts getting going above 40kv -- and you have a 40kv supply...I wanted the lead because I can run 53kv at present, and am planning for higher voltages, so some of the power supply voltage X rays do get through the tank. Yours won't, except at the window(s) and feedthrough(s).
And oh, yes I also tried our dosimeter at my operating position. It read in the 120 micro-rem/hour range there -- quite low, about 1.2 uSv/hour, or 0.2uSv/run. So the shielding I have, minimal though it is, is plenty.
While it's possible to make one of these dangerous, it's hard work to get there! More danger from high voltage or tank implosions, frankly.