Practical? Well, what standards are you going by?
If you are using one battery as a dedicated starting battery, you are probably better off getting an inexpensive Group24 or Group27 SLI (starting) battery. And then using a more expensive Group31 deep cycle (or larger) for the house battery or battery bank.
A Group31 is roughly a 100AH battery, that gives you 50AH of capacity for normal use to the 50% discharge point. A 1000 watt
inverter/charger can pull more than that in one hour--so it is a bit of a mismatch. A charger rated for 25 amps would provide all the power that battery could take for a recharge, and if you wanted to charge two batteries at once (while they are isolated) you'd need a charger designed to do that. Two batteries, of different kinds or the same kind but different charge states, work best with a charger that senses the voltage in each one separately, andcharges each one separately--as appropriate.