Disposed of properly you should get a waste transfer note (because the stuff belongs to you not the bloke dumping it).
Most of the asbestos commonly used in domestic property is fairly innocuous unless you start grinding it up and snorting it.
Not applicable to the OP, but there are a lot of houses with adjoining garages where asbestos insulation board was used to fireproof line the garage ceiling. That can be one of the more hazardous products, notifiable before removal and usually nailed in place so has to be damaged or broken to remove. Take shortcuts and the fibres have a nice easy route into your house.