All TiVo remotes are compatible with all TiVos that I've used. Definitely, a remote that controls the HR10-250 will control the Premiere. No reprogramming should be required, except that there are a few extra buttons on the Premiere remote (A, B, C, D). Personally, I've never used them; I understand they have some (minimal, not required) functionality in the HD menus (I use the SD menus).