The phrase "of a mind to" is used to express a person's inclination or desire to do something. It's a rather formal expression that can be substituted with a variety of colloquial or more straightforward alternatives. Some synonyms that carry similar meaning include "keen on", "willing to", "inclined to", "disposed to", "ready to", "intending to", "considering", "thinking about", and "contemplating". These alternative expressions convey a person's state of mind and express their willingness or desire to take action. The choice of synonym depends on the context and whether the tone calls for a formal or casual language.