Standard conditions for almost all dimensional calibrations is 20°C (68°F). Now is where it gets tricky. To hold the uncertainties that you are looking for, temperature range varies.
In a nutshell, gauge blocks and instruments grow with temperature increases. They grow (assuming steel gauge blocks and calipers/mic spindles) at a rate of 11.5µm/m/°C (6.4µin/in/°F) ± about 10%.
Therefore, with each °C change from 20°C, we add to uncertainty of 2.3µm/m (or 0.06µm per 25mm). Uncertainty on a micrometer at ±2.5µm (0.0001") over a 25mm (1") span would dictate that you would not want to stray from 20°C by more than about 5°C (68°F ± 9°F). If your micrometers are less accurate, then you could stray more. If they are more accurate, then you need a tighter environment still. This is all reliant on the base uncertainty of the company calibrating your tools, because if they start high, it lessens the room for error allowable for temperature.
The biggest worry is usually rate of change, because the mass of a gauge block versus the mass of a set of calipers or micrometer spindle is a big difference. If your environment can't stay within about 2°C/hour, then calibrations start really giving false measurements. If the temperature of the instrument and the temperature of the standard vary by much, errors really start adding up quickly (hence the little chunks of plastic on the micrometer are known as 'heat shields', and are meant to slow the transfer of heat from your hand to the micrometer).
Calipers are more forgiving (because of the 10:1 accuracy of a mic vs. a caliper), and you can generally get away with about 20°C ± a ballpark.
I omitted a lot of calculations here, for brevity and sanity that some of the savvy folks reading this should pick up on, such as distributions, etc., but this is a pretty good rule of thumb for a quick environmental check.
Humidity does not effect caliper or micrometer calibration, although as a supplier, I never liked taking my blocks into an environment with >60% humidity because they rust so quickly.
Hope this helps,
Ryan