IF you want to maintain a flush left-margin on the text and not for the text to wrap around the image then here's a solution below. If you just want the text to wrap around the image then you just need class="pull-left" on the images.
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Bootstrap</title>
<!-- Latest compiled and minified CSS -->
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css">
<style>
.staff {
width: 90%;
margin: 0 auto;
}
.staff img {
max-width: 40%;
}
.staff h4, .staff p {
margin-left: 44%;
}
@media screen and (max-width: 1200px) {
.staff .col-md-4 {
margin-top: 20px;
}
}
@media screen and (max-width: 480px) {
.staff img {
max-width: 100%;
margin: 0 0 30px 0;
}
.staff h4, .staff p {
margin-left: 0;
}
}
</style>
<body>
<div class="container-fluid">
<div class="row staff">
<div class="col-md-4 pull-left">
<img src="http://lorempixel.com/400/400/animals" class="pull-left"/>
<h4>Reece</h4>
<p>Web developer and api designer. Also designed the whitelist and authentication system</p>
<p>Web developer and api designer. Also designed the whitelist and authentication system</p>
<p>Web developer and api designer. Also designed the whitelist and authentication system</p>
<p>Web developer and api designer. Also designed the whitelist and authentication system</p>
</div>
<!-- end col-4 -->
<div class="col-md-4 pull-left">
<img src="http://lorempixel.com/400/400/animals" class="pull-left"/>
<h4>Aklixio</h4>
<p>He started the Axtrivys project with one goal in mind: to make the simplest, most powerfull script that any person could get.</p>
<p>He started the Axtrivys project with one goal in mind: to make the simplest, most powerfull script that any person could get.</p>
<p>He started the Axtrivys project with one goal in mind: to make the simplest, most powerfull script that any person could get.</p>
</div>
<!-- end col-4 -->
<div class="col-md-4 pull-left">
<img src="http://lorempixel.com/400/400/animals" class="pull-left"/>
<h4>Wally</h4>
<p>Wally helps out here and ther with stuff, and is generally annoying. He made most of the gui.</p>
<p>Wally helps out here and ther with stuff, and is generally annoying. He made most of the gui.</p>
<p>Wally helps out here and ther with stuff, and is generally annoying. He made most of the gui.</p>
<p>Wally helps out here and ther with stuff, and is generally annoying. He made most of the gui.</p>
</div>
<!-- end col-4 -->
</div>
<!-- end row staff -->
</div>
<!-- end container-fluid -->
<!-- jQuery library -->
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.12.4/jquery.min.js"></script>
<!-- Latest compiled JavaScript -->
<script src="http://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
</body>
</html>