I am leaving town Sunday and do not plan to be home all Pesach. However, the night of Bedika I will be in a hotel where I wont be the next day as I will be checking in to another hotel room. Do I need to do a Bedika at home? and do I need to do a Bedika when I check in to the new hotel room if I am not going to be there before Sof Zman?
This is not an acceptable arrangement. You should not put yourself in a situation where you circumvent the need for checking for Chometz.
If you are already in such a situation, namely that you will not be in the first room after the time of Issur, you still will need to check the second room. However, this should be done without a Bracha.