I use formidable for file uploads. You can either store them inside of a directory or you can use Amazon S3 to store them on their servers. It works like a charm.
Here is what some code looks like:
  // At the top of your modules
  var formidable = require('formidable');
  var form = new formidable.IncomingForm(); //Receive form
  form.parse(req, function(err, fields, files) { //Parse form and data
     // Do form stuff, you can access the files
  });
With jQuery, you can do the following:
     $('#your_form').on('submit', function(e) {
        var formData = new FormData($(this)[0]);
        $.ajax({
            url : '/your/url/',
            type: 'POST',
            contentType: 'multipart/form-data',
            data: formData,
            success: function (msg) {
               console.log(msg);
            },
            processData: false
        });
        e.preventDefault();
    });