In recent years there has been a lot of scholarship on the subject of using the digital humanities in the classroom. Importantly, Katherine D. Harris, Jentery Sayers, Rebecca Frost-Davis, and Matthew K. Gold have created a peer-reviewed collection of pedagogical materials for use in digital pedagogy entitled "Digital Pedagogy in the Humanities: Concepts, Models, and Experiments".
This page curates ideas and tutorials that Victorianists have found useful for integrating DH themes, tools, and ideas into their own courses.
Create a simple application that tweets. For a fun example, see Roger Whitson's @autoblake, a Twitter bot that computationally remixes the poetry of William Blake.*
* Twitter has tightened up its app security substantially in recent years. To avoid running into problems review the Developer Requirements.
One of the most impactful means of communicating DH research is by way of data visualizations. It is particularly valuable to teach them in the context of the Victorian period because of the innovative visualizations by Florence Nightingale and John Snow that emerged during this era.
Students are often enthusiastic about the prospect of annotating and creating their own digital editions of nineteenth-century primary texts. COVE archives a number of critical editions and provides a forum for building your own.
If you are looking to have your students create a quick, cheap website with little to no programming knowledge there are a number of free and inexpensive options.