OK just outline the spec i.e. fell tree, whats happening to stump, is it to be ground to below soil level, and is waste going to be taken of site( will need a powered shredded / trailer.
Will give you a price with above info as will others
But reading your reply again, if you have accepted a price for all the garden work to be done, is there any need to try and itemise all the individual parts of the works now?
Why not shop around and get a few quotes, then go with the one that you feel comfortable with.
Personally I would choose a registered/trained arborist with insurance.
I must say, it looks like a lovely old tree and its a shame it has to go.
If I was a kid, that would be my dream tree house, among the branches :-)