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What size Is the spider? Small slings will live in deli cups and stuff and as they grow you will rehouse in bigger better enclosures so all depends on the size you're beginning with.
At that size you can go ahead and house it in its forever home. It needs a terrestrial setup with plenty of substrate for burrowing something 45x45x45cm would be ideal and fill it more than half way. Give it no more than 2x DLS head space, ideally 1.5x DLS. Incase of any falls if it's exploring the enclosure ceiling. You can go with something with less height if you want as this will use quite a bit of substrate and make a heavy enclosure especially if you decide to go for glass.
Enclosures can be made from a lot of things you don't have to go for the usual zoo-med or exoterra. Amazon sell acrylic enclosures but the majority are flat pack which you want to avoid for this species as they are not water tight. I have a Hadrurus Arizonensis (Scorpion) in one and it's ideal for it. There are however a few that are sealed these would be fine. Local container stores or homeware stores are my go to I've started moving most of my Ts into ones like this they have them in a store called home bargains over here in all sorts of sizes
That way I can decide where I want the ventilation and how much and how big it should be, and they have locking lids. You can also go for a kritter keeper there relatively cheap and come in a multitude of sizes. You can make you're own too, the dark den on YouTube has a tutorial on it and he sells ventilation pieces too, don't listen to his advice on Tarantulas though he has no clue what he's talking about the majority of the time. And also there are the big brand glass ones that you will find these are great and can look amazing but sometimes cost a bit when you're wanting the large sizes.
Hope this helps.
They prefer slightly moist sub, always provide a water dish though. They are terrestrial/fossorial so no they don't want height, space to burrow and space to roam yes. Just remember to give it no more than 2x DLS head space, you said yours is 3 inches so just now have a maximum of 6 inches space from top of substrate to top of enclosure, I normally only go 1.5x DLS so 4.5 inches that way you are still giving them room but minimizing any fall risk.