How should I wire a subpanel for a tiny house?
If you use a 100A breaker your main in the mobile home you will need #3 copper wire to feed the sub the sub panel. A 60 Amp breaker in the main panel should provide enough power from the loads listed this would require #6 copper wire. 

You will need to run both hots a ground and neutral. In the sub the ground and neutral buses need to be isolated. Many times Panels come with the buses connected the connection will need to be removed or you can add a grounding buss screwed into the metal of the panel. (Make sure there is not a connection from the original buses to the box.) 

I am hoping you will be living in the tiny house while remodel work is completed on the mobile. If both the mobile and the tiny house are used at the same time you may trip the main. If you trip the main you may have to do things like turn the AC off while the cook top is in use to prevent the main from tripping.