The lighting in my house is dimly light when the switches are off, but only the LED's are lighly lit, the other types of lights just lighly flicker
I'm assuming that your lighted switches are lit when the switch is off. These work by passing a low current through the load to provide power to the built-in light. With normal incandescent lights as load, the current is too low to make them glow. However, the LEDs take so little power, that this small current will light them.

If you want to use LEDs, you probably need to either replace the switches or have at least one incandescent bulb on the switched circuit.