Getting color between phone and laptop displays to look reasonably consistent

A photo looks warm and balanced on my laptop, then strangely cool and saturated on my phone. Both screens are set to their ordinary defaults, and I edit in a reasonably lit room. I don't need print-studio precision, but it would help if skin tones didn't shift so dramatically. Before buying a calibration device, what settings should I check—display profiles, automatic color adjustments, brightness and export color space?