set one's heart on
• have a strong desire for or to do.
• "she had her heart set on going to university"
Similar:
want desperately,
wish for,
desire,
long for,
yearn for,
be consumed with desire for,
hanker after/for,
ache for,
hunger for,
thirst for,
lust after/for,
sigh for,
burn for,
itch for,
be dying for,
die for,