I\'m making a landing page where a phrase is constantly changing with select words. For instance,
Design better websites
made for clients.
Try using the Web Animation API
Element.animate();
Simplest reference: http://updates.html5rocks.com/2014/05/Web-Animations---element-animate-is-now-in-Chrome-36
I'm going to write an outline of how I would do did it:
visibility: hidden so that you can determine their sizes.position: relative on the parent).Demo:
var first = ['Create','Cut','Reticulate'];
var second = ['you','clients','artists','us'];
var firstM = [], secondM = [], el;
var $first = $('.the-first'); 
var $second = $('.the-second'); 
var $container = $('#container');
// init static //    
$first.text(first[0]);
$second.text(second[0]);
// create measurables //
for(var i = 0; i < first.length; i++){
    el = $('<div class="measurable">' + first[i] + '</div>');
    $container.append(el);
    firstM.push(el.width());
}
for(var i = 0; i < second.length; i++){
    el = $('<div class="measurable">' + second[i] + '</div>');
    $container.append(el);
    secondM.push(el.width());
}
// absolutize //
var positions = [];
$('#container > span').each(function(){
    positions.push($(this).position());
});
$('#container > span').each(function(){
    var pos = positions.shift();
    $(this).css({
        position: 'absolute',
        left: pos.left,
        top: pos.top
    });
});
// remember initial sizes //
var firstInitialWidth = $first.width();
var secondInitialWidth = $second.width();
// loop the loop //
var activeWordsIndex = 0;
setInterval(function(){
    activeWordsIndex++;
    var firstIndex = activeWordsIndex % first.length;
    var secondIndex = activeWordsIndex % second.length;
    
    $first.text( first[firstIndex] );
    $second.text( second[secondIndex] );
    
    var firstLineOffset = (firstM[firstIndex] - firstInitialWidth) / 2;
    var secondLineOffset = (secondM[secondIndex] - secondInitialWidth) / 2;
   
    $('.static.first').css({
        transform: 'translateX(' + firstLineOffset + 'px)'
    });
    $('.static.second').css({
        transform: 'translateX(' + (-secondLineOffset) + 'px)'
    });
    
    $first.css({
        transition: 'none', 
        transform: 'translate(' + (-firstLineOffset) + 'px, -30px)',
        opacity: '0'
    });
    setTimeout(function(){
        $first.css({
            transition: 'all 1s ease',
            transform: 'translate(' + (-firstLineOffset) + 'px, 0px)',
            opacity: '1'
        });
    }, 50);
    
    $second.css({
        transition: 'none', 
        transform: 'translate(' + (-secondLineOffset) + 'px, 30px)',
        opacity: '0'
    });
    setTimeout(function(){
        $second.css({
            transition: 'all 1s ease',
            transform: 'translate(' + (-secondLineOffset) + 'px, 0px)',
            opacity: '1'
        });
    }, 50);
}, 2000);#ubercontainer {
    border: 1px solid #eaeaea;
    border-radius: 2px;
    background-color: #ffefc6;
    width: 500px;
    margin: 20px auto;
    padding: 30px 0;
}
#container {
    position: relative;
    text-align: center;
    font-family: sans-serif;
    font-size: 32px;
    font-weight: 800;
    color: #4a6b82;
    height: 78px;
}
.measurable {
    position: absolute;
    visibility: hidden;
}
.static.first, .static.second {
    transition: transform 1s ease;
}<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div id="ubercontainer">
<div id="container">
    <span class="the-first"></span> 
    <span class="static first">better websites </span><br />
    <span class="static second">made for</span> 
    <span class="the-second"></span>
</div>
</div>Got some good answers.
Alin Purcaru has a much better and more coherently-written answer, but I thought I'd provide my own. 
Nit had what I was looking for, but since I'm not the best programmer, I tried to come up with a solution I could understand. After an hour or two, here's what I got.
Basically, I'm comparing the full block of text to the parent element, finding the space between them, halving it, and then applying that as a negative margin to the text. I can transition this with CSS since I'm moving a full block.
Here's a very bad drawing in MSpaint to illustrate my point

the text has display: inline-block so the div fits to the text rather than taking up 100% of the parent.
Since I was transition with CSS in my javascript, all I needed to do to make it smooth was
  -webkit-transition: all 1s ease-in-out;
  -moz-transition: all 1s ease-in-out;
  -o-transition: all 1s ease-in-out;
  transition: all 1s ease-in-out;
Writing a solution like this you will quickly come to realize you will have to abandon the idea of dynamic line breaks if your words differ in length by a reasonable amount.
That small detail aside, you can easily achieve the effect you're after using a standard pyramid of jQuery animate callback hell:
var target = $('#target');
var change = function(str) {
  var tmp = $('<h1>' + str + '</h1>');
  tmp.css({
      display: "inline-block",
      position: "absolute"
    })
    .appendTo('body')
    .hide();
  var targetWidth = tmp.outerWidth();
  tmp.remove();
  target.animate({
    opacity: 0
  }, 200, function() {
    target.animate({
      width: targetWidth
    }, 300, function() {
      target.empty()
        .html(str)
        .css({
          display: "initial"
        })
        .animate({
          opacity: 1
        }, 200);
    });
  });
}
var samples = [
  "some sample",
  "another example",
  "just"
];
var i = 0;
setInterval(function() {
  change(samples[++i % samples.length]);
}, 1400);.container {
  margin: 0 auto;
  text-align: center;
}
#target {
  display: inline-block;
  vertical-align: bottom;
  white-space: no-wrap;
  height: 1em;
}<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div class="container">
  <h1>This is <span id="target"></span> text</h1>
  <h1>in a longer sentence</h1>
</div>