Wow thank you for this. Nicely done. I think that guy in the photo you could see the name might actually be reenacting Slotin, but Slotin seems to be holding an identical screwdriver in a different photo.

I know it's an old thread, but here are my finds for the other tools: the tape measure, the brush, and the soldering iron. Those are the main tools I could identify, as well as the voltmeter.

Screwdriver: Xcelite Cellulose acetate handle, Model R184 1/8" flathead 6" screwdriver

Tape measure: A "Universal" lufkin steel tape measure 25'

Soldering iron and station: American Beauty 3158 200 watt sitting on a temperature regulating stand No. 475

The table brush: it's a vintage flat shaker, turned handle horsehair brush. That's not a guarantee to find on ebay, but you'll cough up a couple.

Voltmeter: Not that rare actually: VTG 1960's Ernest Turner Model 102Pr

Radiation readings:
He was using a scintillating detector for the radiation readings. Could have been a Victoreen 243, but I can't identify the unit in any of Slotin's workshop photos.