I grow lots of starts, many 1,000's for a market garden. I have a room in my shop for starts, 8'x8', insulated, with 2 shelf units.5 shelves high. Two of the shelves are insulated all around with 1.5" foam board and they have a 2'x4' thermostatically controlled heat mats under them. I use those for heat sensitive seeds, eggplants, peppers, tomatoes, etc. After plants germinate they go on a shelf with T5 lights over them to grow bigger.
The lights run 16 hours a day and they are enough to keep the room at about 70 degrees all the time without any other heat. I run all these off my solar system, the constant draw is about 1000 watts for the lights and heat mats, or 12 kWh per day. It's nice getting dual use out of the lights, they give light and act as heaters at the same time.
None of my greenhouses are heated, once the seedlings get bigger they go out into greenhouse set up so I can put row cover over the at night to keep them warm. I'm in western Oregon , zone 8, I'll have tomatoes in the ground March 15 using this system.
Just sharing some ideas for my system I've developed over many years. It's a lot more efficient to heat the soil than the air, and works better for the plants.
As for a charger, you need a charger than can be configured for your battery. I don't remember if it's lithium or lead, but any battery charger that will handle the chemistry should work. Just figure out how many amp hours you need to put into the battery overnight, i.e. if your battery is 200 amp hours and it's half full, that's 100 amp hours you need to replace. If you charge for 8 hours you need at least 12.5 amps of charging, but of course you need more than that to make up for losses and inefficiency, I'd allow 50 percent more myself.