S Davis,
Be aware that Lead acid chemistries work best if all jars are the same age.
Note the Peukert effect which results in much longer life span if loads are spread over a larger number of amp-hours. For example a 250 amp-hour battery bank with a 10 amp load would be at 50% state of charge in about 13 hours. Whereas a 500 amp-hour bank with the same 10 amp load would hit 50% in about 29.9 hours. At 750 amp-hours 50% comes after 48 hours.
The good charger you speak of may be best with a top of the line converter, or else an inverter/charger.
My own choice was an inverter/charger with temperature compensated charging. I do have a modest solar charging system as well.
A 200 watt load @ 120 volts represents 20 amps @ 12 volts.
My first battery bank was 875 amp-hours.