A dictionary of Confusable Phrases: More Than 10,000 Idioms and Collocations

put one’s heart into something • set one’s heart on
something
put one’s heart into something —do smth. with enthusiasm:
As a lad, I couldn’t stick to anything — couldn’t seem to put
my heart into any sort of work.
set one’s heart on something —wish for smth. strongly; be
determined about smth.: When once he’s set his heart on a
thing he won’t rest till he gets it.
put one’s mind to something • turn one’s mind to
something
put one’s mind to something —(also: set one’s mind to some-
thing ) devote a lot of attention to a task: He put his mind to
the problem of establishing a means of supporting those who
had taken the pledge of abstinence.
turn one’s mind to something —begin to think seriously about
smth.: I shook off my feelings of dread and turned my mind
to finding a way out of there. Cf.: turn someone’s mind to some-
thing — cause a person to think about smth.: I’ve been thinking
about history … and your invitation turned my mind to the
story of women in the West.
put one’s money in something • put one’s money
on something
put one’s money in something —invest one’s money in a busi-
ness in the hope of gain: People are advised not to put their
money in companies where there is a high risk.
put one’s money on something —(also: lay one’s money on some-
thing ) 
1
. stake a sum of money on smth. such as a sporting
event: If you’ve got any sense, you’ll put your money on that
horse I told you of. 2. favor smth.; expect smth. to succeed:
I haven’t really seen any technology to this date that I would
put my money on.
put one’s name down for something • put one’s
name to something
put one’s name down for something—
1
. apply for a position,
etc.: He was called up having put his name down for the RAF
and after initial training he was sent overseas. 2. promise to
subscribe for a certain sum: One man after another said that
he would be willing to put his name down for five or six
pounds.
put one’s name to something— sign a declaration, etc.: The
former assistant Chief of Defense Staff put his name to the
appeal, alongside retired general Sir Hugh Beach.
See also: give a name to something / give one’s name to some-
thing.