Re: 1940s kitchen
Asbestos is only a problem when it is friable. What I would recommend is to proceed with caution, wear a good quality dust mask and gloves. Put the material into a plastic bag, tie it off, and simply put it into your garbage can. Simple as that. To call in a professional will cost you big bucks, that in this case are not necessary.
Now, if you had asbestos wrapped pipes, my recommendation would be to absolutely hire a professional to do the job right and prevent polluting the rest of your house.
The difference in these scenarios has to do with the difference in the material being handled. Glues tend to stay sticky or hard, retaining the asbestos contained within. Pipe wrap tends to be brittle and wooly, which is much more likely to be problematic.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!