We survey a combination of classical and recent experimental and modeling developments in eukaryotic cell migration, from the subcellular processes and regulation, to single and collective cell dynamics. We showcase several examples that demonstrate simulations at several hierarchies: subcellular actin waves, corresponding migratory cell behavior, and collective behavior of several multicellular systems. We argue that the use of shared open-source software packages (such as Morpheus, in our case) to simulate multiscale models would be a boon to the community, allowing us to recreate, investigate, and build on existing work. A brief summary of currently available software is provided.