I'll assume you are going to want to display document types in your carousel. If you don't have a carousel doc type, its very easy to create one but we will get there when the time comes. For now we'll just assume you are going to upload images in the content tree.
You'll need 2 repeaters on your page, one for the indicators, and one for the actual slider images. I'll show you how to add the one for images. The one for the indicators will be very similar to the images.
Start by adding a Repeater webpart to your page template. Set the Document types = CMS.File. Set the Transformation = cms.file.<create a new transformation>. When creating your new transformation use this code
<div class="item">
<img style="width: 100%; display: block;" src="imgs/image1.png" alt="Image 1">
</div>
Then in the HTML Envelope set the content before =
<div id="myCarousel" class="carousel slide">
<div class="carousel-inner">
and the content after
</div>
<a class="left carousel-control" href="#myCarousel" data-slide="prev"></a>
<a class="right carousel-control" href="#myCarousel" data-slide="prev"></a>
</div>
You can set the Path to the images but by default the path is the everything below the current document, so if it becomes a problem later then change it otherwise leave it.
Setting up the indicator repeater would be very similar but you need to get creative on where you put the opening and closing <div> tags for the carousel container. You can put the opening tag in one webpart content before and the closing tag in the other webpart content after and you should be set.
Hope this helps.