I keep my hatchlings in 10 gallon or 20 gallon aquariums. Each tank has a 300 AquaClear filter. These filters do a good job of keeping the water clean and they are fairly easy to clean. For heating I use a 50-watt or 75-watt Ebo-Jager submergible heater set to 85F. Warmer water helps keep their appetite strong and keeps them growing at a good rate.
ZooMed basking platforms work great for hatchlings but they will grow out of it within about a year. A 100 watt ZooMed PowerSun bulb is great for uses in the basking area.
I normally start feeding them in a separate feeding container once they are about 2.5 inches long.
Here are a couple of my older 10 gallon setups. Note: I am no longer using cork in my setups.
Here is one of my older 20 gallon setups.
Overview of older hatchling setup.