I have all three of those, and envy you the B. albiceps.
You will get lots of varying opinions on sling husbandry. There are as many opinions as there are spiders...
When my slings are that size I feed a varied menu once every 5 to 7 days, alternating between pinhead crickets, mini mealworms and roach nymphs. I don't like fat tarantulas, so I don't power feed. If I don't have little feeders, I will cut up a larger one. Most slings will eat pre-killed. They will develop individual likes and dislikes. i.e. - one of my vagans turns its nose up at mealworms, the other thinks they are candy. The A. genic refuses roach nymphs.
Expect the L. parahybana to very quickly outgrow the others.
My LPs and vagans liked to burrow at that size. One of my LPs still burrows at ~3 inches. Both 1+" vagans have tunnel networks, but are spending more time outside their burrows now. (For almost two months I only caught glimpses of them at feeding time when legs and fangs would emerge from holes to grab prey.) Allow enough substrate for burrowing if they so choose.
I use a substrate blend of coconut coir, sphagnum peat and vermiculite. (Get products with NO fertilizers or insecticides!) Keep the substrate damp but not moist, until they are bigger.
When mine reach ~1 inch, I increase their floor space, add a bottle cap for a water bowl and back off on the dampness of the substrate.
There is no single right way to keep them, there are many variations on a theme. These species tend to be very forgiving. Just avoid extremes.