The integration of computing innovations into Arts and Humanities (A&H) research is crucial. However, high-performance computing (HPC) is not widely used in A&H, posing risks to interdisciplinary integration with sciences that use advanced computational methods. Efforts in the UK to address the digital skills gap in A&H are limited. The lack of national digital infrastructures and skills in digital workflows specifically hinders HPC adoption. Two initiatives, recently funded by UK Research and Innovation (UKRI) aim to overcome these limitations. The Digital Skills Network in the Arts and Humanities (DISKAH) will build researcher capacity to engage with UK Digital Research Infrastructures, including HPC and AI resources. It builds on a network of universities scaling up existing national digital skills training initiatives and fostering new communities of practice via a UK fellowship programme. The Collaborative Computational Project for Arts, Humanities, and Culture (CCP-AHC) will establish a community of practice centred on the responsible development of scientific software codes and workflows that have the potential to transform A&H research. Over the next two years, both projects will build capacity, run engagement events, identify and support promising projects, and promote best practices, aiming to foster transparency, collaboration, and inclusion in A&H research.