#1 . If you get the proper equipment such as a Thermostat that regulates heat, NOT TO BE CONFUSED with a thermometer which just measures heat and provides no safety in the occurrence of a malfunction ( which leads to severe burns on your pet) the heating factor would be taken care of.

#2. Depending on your cage/tank/tub your humidity should be fine as long as you have it correct in the first place, maybe add some extra sphagnum moss that has been dampened in the case of a shed cycle when you have switch homes or just in general.

#3. Water sometimes tends to be spilled, knocked over, or even pushed out due to soaking, but if you get a large wide, flat bottomed water bowl thats not too deep then you should be fine. Maybe if your Mom could add water when needed if she doesn't have a fear of snakes that would be good lol.

#4. Possibly feed earlier in the day you plan on going to your Dads house.

Hopefully this has given you some help