If the CFL bulbs are not the dimmable variety, adding a dimmer will not help. The first step would be to check the bulbs and then consider replacing them with dimmable bulbs if they cannot be dimmed.

If the wall switch controls the power to both the fan motor and lights, you would have to figure out how you would want to separate the 2.

Many (if not all) of the remote control units use the same technology as a dimmer (a TRIAC) to turn the device on and off.

Any device that cannot operate from a conventional dimmer may have problems operating with a TRIAC controlling the power.

Even when fully on, a TRIAC distorts the voltage and current flowing to the device.

Any lights you use should be rated for dimming, even if they are in ON/OFF mode only.

Got it. Thanks for the info.