I work with asbestos alot buddy and don't let the scare mungering bother you.
By law there's nothing that says you can't do it yourself as long you just get a mask, White desposable suite, plastic coated gloves and some thick plastic bags labelled asbestos all which could be got from a builders merchant and to dispose off it you can take two bags at a time down to your local recycling (refuse) site and dispose off it for free
And that's the truth buddy just checked with my health and safety guy which runs our building sites, we've just done the same on a big demolition job bigger scale but same idea but got a asbestos skip costing £400 a time which you'd get a hundred flues in!
Asbestos firms are like day light robbers they only do the same but charge you mental costs for the privledge