You're heading in the right direction. Let both items reach room temperature first: take the water out for roughly five to ten minutes and the peptide for twenty to thirty if it was frozen; this reduces clumping and supports even dissolving. The insulin syringes work fine on small vials as long as you push the liquid in slowly to limit foam. For thicker material some switch to a bigger needle only for adding the water. Draw the needed volume, then ease it down the inner wall of the peptide vial instead of straight onto the powder. Wipe every stopper with alcohol beforehand, keep the vial upright when pulling doses later, date the vial after mixing, and refrigerate anything not used right away.
I searched around but didn't locate the exact details I need, so any input would help. This is my first attempt at reconstituting on my own and I want the steps confirmed to avoid irreversible errors. Should the bacteriostatic water and the dry peptide both sit at room temperature before mixing starts? If the water has been chilled or the peptide frozen, how long do they need to sit out? For the small 3 ml vials I'm using, the person who handled this previously used the same 30-unit insulin syringes I already inject with; is that acceptable or does reconstitution call for a different needle? When adding the water, do I follow the same air-draw and pull technique I use for injections, then swirl the vial, or is the process different?