Bob and Brain are 100% correct. Shut off all batteries unless you need to run something that is powered by them. You do not always need to run the shore power, but it is not a bad idea to. I agree having it on will eat away at your anodes a bit quicker. As for the invertor, you should not need to turn that on every trip, it should only need to be turned on if you wish to run something off it. Find out what exactly it powers, as Bob says, it is likely your microwave and maybe a tv/vcr. If you are not using those things, don't bother having it turned on. Check what type of battery charger you have, some are desgined to shut off when batteries are full, if yours does not, I'd consider replacing it. Overcharging batteries can kill them just as quickly as not charging them as needed. My charger shuts off when they are fully charged, and I use a bit of battery on the water on most trips so I put my shore power on after all trips. We also use the boat a lot and make 2-4 trips per week so it does not sit being connected all week. I like to know when I come down that my batteries are fully charged and ready for me to go. They should be from the alternator itself and running, but if I've drained my batteries a bit and the ride in is short, I'm not always sure they are charged how I'd like them to be so for me the shore power is a safe bet. I shut my batteries off all the time.