If your baby is due in 4 weeks it’s likely it’ll be quite a few months until a crib is needed. The first months will pass in a tired blur of the baby sleeping only on you or your partner, followed waking up the second you try to put them on anything else. Once they use a crib though just buy one — you won’t have time to build and it’s important to make it safe.
That's not the case for all babies, imho they come with different habits right from the start. I have ~10 kids in my closest family, all with different sleeping habits.
I would think it's not the case for the majority of babies even. Some parents do keep the baby constantly at their side when sleeping and some are doing that weird co-sleeping thing with a raised cot right next to their own, but most parents (in modern societies where cots are used) seem to just do the usual: give the child their own place to sleep and let them develop a healthy sleeping habit right from the start.
We had our son in his own cot in his own room at night (within hearing range obviously) and in a wicker cradle during the day. We moved to an infant bed as he grew. He moved to a normal size bed a few months ago at 2½ (rather soon, but he's tall and outgrew the infant bed). He's a good sleeper.
I'm from Sweden, having a young baby sleep the night in a separate room is almost unheard of over here! How do you handle the first time with multiple nightly feedings?
We have 3 kids, we've had our babies between us in our bed for the first two weeks or so, thereafter a bedside crib for about 3 months until they've outgrown it, then switched over to a separate IKEA crib, still in our bedroom. We've then moved them over to their own bedrooms somewhere around their first birthday.