I hope that you are not thinking about removing the battery and storing it in your garage between trips. That is not a requirement for long battery life. Certainly do not overcharge them, as melted battery plates are worse for battery life than a little build up on the plates. I try not to charge mine over 40 amps to avoid warming up the battery. (that is with 4 golf cart batteries).
I have solar, and if you are indicating that your whole RV will be in the garage, that is fine, and will keep the batteries in great shape if the factory converter stays plugged in all the time while in storage. Just check the battery water level every 4-6 weeks, until you can determine how quickly you will need to add water to them. At my work, the golf carts are serviced about every 8 weeks, and the 8 batteries use about 1 gallon of water for each golf cart. We have 5 golf carts at the large retirement center where I work.
I have a motorhome with 4 batteries, 415 watt solar system, and I lived full time in it from 2005 - 2013. I have hydrocaps, so rarely need to refill the batteries. It changes the leaving hydrogen and oxygen from the battery gas back into water.
If you become interested in solar power, click on my name, then 'view posts' put solar in the search line, and I have described my solar system install many times over the past 3 months. Even have pictures of the mounts that I made, and link to my favorite low cost solar panel supplier.
Your RV will consume 35 amp hours daily to run just the CO meter, propane detector and refrigerator. Your old group 24 battery is only about 65 amp hours, so will run empty in a couple of days even without running ANY lights. The Trojan's are rated at 220 amp hours, and will serve you well. But after 4 days will require a lot of charging. This is where solar really helps. Even a pair of 140 watt panels will do a wonderful job. One to make up for the 35 amp hours used my the RV, and another to make power to use watching TV, run the furnace, ect.
I figure that each of my 120 watt solar panels makes about 35 AH daily.
My first set of trojan batteries lasted 13 years!
Good luck,
Fred.