Driving KL to Singa?

[schmalex]

Hi folks. I'm scheduled to be out in KL during w/c 20 Feb and will have to shoot down to Singa for a meeting one day. I normally just jump on an AirAsia and let Uber be my friend at both ends, but I'm a little sick of flying so much and with KLLC terminal being close to an hour out of town, I'm thinking about driving it for a change.

Does anyone know if you rent a car in KL (through Hertz or similar), does it come with the right insurance / autotoll etc for use in Singa?