QA in the current issues addresses the issue of dehumidification by an oversize AC unit. Everything suggested in the answer is valid but I suggest that one of the simplest, easiest and least expensive solutions was not mentioned.
Dehumidification takes place when the dew point of the air passing over the coil is great than the temperature of the coil. What has always worked very well for me is to run the fan at low speed when the AC is not “on” and using a higher speed when it is. The coil remains cool long after the compressor shuts off. This has several benefits: (1) more dehumification takes place, (2) the ambient room temperature stays very even which is more comfortable at a higher temperature, and (3) air cleaners function over a longer time period.
The energy used by the low speed fan is generally much lower than than the energy used by a lower thermometer setting to achieve the same comfort.