I worked on my air compressor setup on Saturday too. I went by my favorite parts store dive and got ~$40 in brass fittings.
I got several Milton style males and females, a 1/4" FPT "T", a bunch fo 1/4" close nipples.
I started by removing the regulator from the new air compressor. It was super aggrevating, they built the control box right beside the compressor itself so screwing anything into the side of it with more than a 4" diameter was impossible. To get my large regulator into the control box fitting I had to partially unscrew the control box, attach the regulator, and then turn the control box back around. Of course eventually this is going to wear out the NPT threads into the bottom of the control box and allow a leak there so I put a female quick disconnect fitting in the side of the box. I then fit the regulator with a male and female quick disconnect and a water trap I had handy with a male and female quick disconnect. That way each of the implements is removable and interchangable. Seat a stubborn tire bead, the regulator slows the output down too much. Now I can take the regulator out of line and get maximum air flow.
I installed the "T" and two female quick disconnects on the speedaire air tank and barbed and installed a male fitting on the short piece of hose slick sent me.
I rolled the speedaire tank all the way out back to the very back of the fence behind my shed and hooked it all up and then plugged it into the compressor and equalized the pressure between them (so both were at about 60psi). Then I turned on the compressor switch and let it pump until it reached cutoff. I bled off 10-15 psi and took a walk out back. Happy to report, there's nothing to report. It held the pressure fine, I then rolled it back up and plumbed it in with the air compressor and used it the rest of the day, no problem!