Jumping spiders are by far the most interactive invertebrate you can easily keep as a pet! They hunt prey including other spiders which can be several times their own size, so they need to be smart enough to outwit them.
As surprisingly intelligent active hunters, jumping spiders have a lot of behaviors that are reminiscent of other pets: They meticulously groom themselves (including sticking each of their feet into their mouth), they cock their head (technically cephalothorax) to the side like a dog, they can have food preferences and will look at you disappointed if they don't like what they were given, and some will even chase laser pointers!
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You can play with your jumping spider by allowing them to crawl upwards onto your hand from the rim or lid of their deli cup. They like to crawl upwards and often enjoy jumping up to a few body lengths, so they'll enjoy using your hand as a jungle gym. Captive raised these spiders lose their fear of humans after a while and my older phidippus spiderlings are so tame they will often only move a few millimeters when gently nudged with my finger. It is important not to try to force the spiderlings to interact with you by nudging them onto your hand, as you don't want them to form a negative association with your hands.
Spiders taste with their legs, so jumping spiders can be very picky about what they are willing to touch. If your hands have soap or other residues on them then the spiderling will probably refuse to touch them (and recoil from them in disgust like a cat that smells something spicy).
Remember to never take your eyes off of your jumping spiders when they're out of their habitat: They always look towards where they want to walk or jump, but it's easy to take your eyes off them because they will also spend a lot of time just sitting on your hand grooming. Plus they will sometimes try to jump onto a nearby object farther than they can reach and end up dangling from your hand.
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You will want to feed your jumping spider flightless fruit flies (melanogaster for the tiny Phidippus carneus and johnsoni, or 1-2 hydei for the larger mystery phidippus spiderlings). You'll know how hungry the spiders are based on how plump and large their abdomen is relative to their body, and whether they're exploring around their habitat looking for prey. You can get flightless fruit flies from basically any pet store that sells reptiles, for $5-10. If you keep on top of things then you should never have to buy more than one fruit fly culture, since it's very easy to make and seed your own new cultures before the old culture dies off.
Once they get larger you will eventually need to switch to larger prey for your spider: Most jumpers find flies to be their favorite, but they may have a hard time catching them unless you hold it for them with tweezers and/or sedate the fly by putting it in the fridge for a while. If you spider likes them then mealworms of around their body size are great because you can buy a container of them for less than $10 which will last many months if you keep it in the fridge. If you end up feeding the spiders crickets remember crickets can bite, so don't give them one much larger than themselves. Also crickets are nocturnal and the spiders are asleep at night, so you should remove living crickets from the spider's habitat at night because crickets may bite them.
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You also want to make some sugar/honey water and give it to them via a wet q-tip every week or two. As desert species who mostly get water from their prey I don't know how necessary this is. However, feeding them sugar water with a q-tip can be very rewarding: If they're interested they will latch onto it when you very gently nudge their front legs, and if they're really interested they will smell the sugar and come running over to the q-tip.
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All the baby spiders I'm selling are the offspring of female phidippus jumping spiders caught locally. In my experience every female jumping spider I've caught has eventually laid eggs once they're at a reliably comfortable temperature and are getting lots of food.
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The baby spiders of the Phiddipus Comatus species are a few months old so I can get good footage of them, whereas the Phidippus Johnsoni and Carneus slings are only a few weeks old.