disposure. / (dɪˈspəʊʒə) / noun. a rare word for disposal, disposition.

What does at your disposition mean?

To leave something at someones disposition. The idea behind this is that the person can dispose (make use of) the thing in anyway that person deems proper. Just like "I like your disposition" means "I like your attitude [towards something]"

What does Favourably disposed mean?

to like or approve of something or someone: She seems favourably disposed towards the idea. Ready and willing. agreeable.