if you want to try to take care of it in code then you can approach it like this. i've laid out something akin to what you have then after 5 seconds it will swap in a new vertical constraint to make one of the labels taller. hope it steers you in the right direction ... or at least a direction!
NSArray * vertConstraint;
UIImageView * imageView = [[UIImageView alloc] init];
UILabel * labelOne = [[UILabel alloc] init];
UILabel * labelTwo = [[UILabel alloc] init];
UILabel * labelThree = [[UILabel alloc] init];
imageView.backgroundColor = [UIColor grayColor];
labelOne.backgroundColor = [UIColor redColor];
labelTwo.backgroundColor = [UIColor blueColor];
labelThree.backgroundColor = [UIColor orangeColor];
[imageView setTranslatesAutoresizingMaskIntoConstraints: NO];
[labelOne setTranslatesAutoresizingMaskIntoConstraints: NO];
[labelTwo setTranslatesAutoresizingMaskIntoConstraints: NO];
[labelThree setTranslatesAutoresizingMaskIntoConstraints: NO];
[self.view addSubview:imageView];
[self.view addSubview:labelOne];
[self.view addSubview:labelTwo];
[self.view addSubview:labelThree];
id topGuide = self.topLayoutGuide;
id bottomGuide = self.bottomLayoutGuide;
NSDictionary * viewsDictionary = NSDictionaryOfVariableBindings(imageView, labelOne,labelTwo,labelThree,topGuide, bottomGuide);
// initial vertical constraints. will be swapped out after 5 seconds (See below
vertConstraint = [NSLayoutConstraint constraintsWithVisualFormat:@"V:|[topGuide]-100-[imageView(==200)]-20-[labelOne(==20)]-20-[labelTwo(==20)]-20-[labelThree(==20)]-(>=5)-[bottomGuide]|" options:0 metrics: 0 views:viewsDictionary];
[self.view addConstraints:vertConstraint];
// horizontal constraints for all the elements
[self.view addConstraints:[NSLayoutConstraint constraintsWithVisualFormat:@"H:|-(>=0)-[imageView(==200)]-(>=0)-|" options:0 metrics: 0 views:viewsDictionary]];
[self.view addConstraints:[NSLayoutConstraint constraintsWithVisualFormat:@"H:|-(>=0)-[labelOne(==200)]-(>=0)-|" options:0 metrics: 0 views:viewsDictionary]];
[self.view addConstraints:[NSLayoutConstraint constraintsWithVisualFormat:@"H:|-(>=0)-[labelTwo(==200)]-(>=0)-|" options:0 metrics: 0 views:viewsDictionary]];
[self.view addConstraints:[NSLayoutConstraint constraintsWithVisualFormat:@"H:|-(>=0)-[labelThree(==200)]-(>=0)-|" options:0 metrics: 0 views:viewsDictionary]];
//additional constraints to center them
[self.view addConstraint:
[NSLayoutConstraint constraintWithItem:imageView
attribute:NSLayoutAttributeCenterX
relatedBy:NSLayoutRelationEqual
toItem:self.view
attribute:NSLayoutAttributeCenterX
multiplier:1
constant:0]];
[self.view addConstraint:
[NSLayoutConstraint constraintWithItem:labelOne
attribute:NSLayoutAttributeCenterX
relatedBy:NSLayoutRelationEqual
toItem:self.view
attribute:NSLayoutAttributeCenterX
multiplier:1
constant:0]];
[self.view addConstraint:
[NSLayoutConstraint constraintWithItem:labelTwo
attribute:NSLayoutAttributeCenterX
relatedBy:NSLayoutRelationEqual
toItem:self.view
attribute:NSLayoutAttributeCenterX
multiplier:1
constant:0]];
[self.view addConstraint:
[NSLayoutConstraint constraintWithItem:labelThree
attribute:NSLayoutAttributeCenterX
relatedBy:NSLayoutRelationEqual
toItem:self.view
attribute:NSLayoutAttributeCenterX
multiplier:1
constant:0]];
//delay 5 seconds then swap out vertical constraints
// in this case change the (==20) to (==40) for height of element
// you can edit that string more dynamically to fit your needs
dispatch_after(dispatch_time(DISPATCH_TIME_NOW, 5 * NSEC_PER_SEC), dispatch_get_main_queue(), ^{
NSArray * newVertConstraint = [NSLayoutConstraint constraintsWithVisualFormat:@"V:|[topGuide]-100-[imageView(==200)]-20-[labelOne(==20)]-20-[labelTwo(==40)]-20-[labelThree(==20)]-(>=5)-[bottomGuide]|" options:0 metrics: 0 views:viewsDictionary];
[self.view removeConstraints:vertConstraint];
[self.view addConstraints:newVertConstraint];
[self.view setNeedsUpdateConstraints];
[UIView animateWithDuration:1.5 animations:^{
[self.view layoutIfNeeded];
}];
});