My knowledge of Shopify is little, but did some little works in Shopify which were little and JQuery and CSS based Job. I am sharing you a piece of code which can help anyone using shopify to create a simple Add To Cart button and put it anywhere and make it redirect to checkout page. Here is the code:
<form class="product-form" action="/cart/add" data-productid="PRODUCT ID" method="post">
<input type="hidden" name="id" data-productid="PRODUCT ID" class="product-select" value="VARIANT ID" data-variant-title="VARIANT TITLE" />
<input type="submit" value="Add To Cart" class="btn btn btn-default" />
<input type="hidden" name="return_to" value="/checkout/" />
</form>