If you have a lot of terms I would use a switch, and it depends on if your field is returning 1 term or multiple temrs. Assuming that the field is returning multiple terms.
$terms = get_field('your-tax-field');
if ($terms) {
foreach ($terms as $term) {
switch ($term->term_id) { // could also be any term value
// cases would depend on above
case 1:
// output for case 1
break;
case 2:
// output for case 2
break;
case 3:
// output for case 3
break;
// etc...
} // end switch
} // end foreach term
} // end if terms
