^^^What he said!^^^
However, IF you were to purchase a Battery Minder (I have three - one for each vehicle and the trailer), you could simply leave the battery(s) in the trailer and put the Minder on 24/7, which is what I do. This keeps the battery at a full state of charge (without overcharging), and, it "desulphates" the battery too, which is a cause of premature battery failure.
ALL batteries, including "deep discharge" ones, don't really handle full discharge/charge cycles well at all. It's best to keep them charged near the full state at all times. The only exception seems to be Li-Ion batteries, which seem to do best if they are kept at a 75% charge state. I find this to be nearly impossible, so I keep all the Li-Ion batteries in my tools and cellphone at near full charge all the time too. My laptop has a battery saving "feature", though that holds the charge at 75% for a prolonged period, then allows it to charge fully for a week or so.
- Jack