Let your BMS manage the chargers
Keeping a lithium battery full all the time will reduces its lifespan. After 10 years a battery will loose 17% of its capacity if its average state of charge is 50%, and it will loose 28% of its capacity if it is full most of the time (*).
TAO BMS can control the chargers to stop the charge at a set SOC and restart them when the SOC gets low.