Dataset for Mobile impurities interacting with a few one-dimensional lattice bosons (10.1088/1361-6455/acb51b). It corresponds to exact diagonalization results for energies and bipolaron sizes. The files correspond to the following figures in the preprint: Fig. 1a: Ep_UBB2.dat Fig. 1b: Ep_UBB4.dat Fig. 1c: Ep_UBB6.dat Fig. 1d: Ep_UBB8.dat Fig. 2: Ep_UBI50.dat Fig. 5a: Ebp_UBB2.dat Fig. 5b: Ebp_UBB4.dat Fig. 5c: Ebp_UBB6.dat Fig. 5d: Ebp_UBB8.dat Fig. 6: Ebp_UBI50.dat Fig. 7a: rbp_UBB2.dat Fig. 7b: rbp_UBB4.dat Fig. 7c: rbp_UBB6.dat Fig. 7d: rbp_UBB8.dat Fig. 8: rbp_UBI50.dat