I would put holes in the lid and use the lid. You would surprised how fast they will climb out of a bin. I use containers like these. I sometimes use 3 different sizes of bins like the ones in this pic. Small one, medium one and then a large one. With just one baby you can probably just get a medium bin and skip the large bin. When you have multiple babies they need more space. By the way, to get perfect holes like those you use a cheap step bit from Harbor Freight. They sell cheap ones. At Lowe’s and HD they are very expensive. You don’t need that. Some people burn holes in the lid but that’s unsightly for an OCD person like myself.
After the baby is ready for a cage (about 9 weeks) I use a low small cage like in this link. You don’t have to get this cage but make sure it’s a low profile cage. You don’t want a tall cage. The little monkeys start climbing and fails can be risky. That’s the reason for the low cage.
https://www.amazon.com/Ware-Manufact...gateway&sr=8-4
You have to be careful with this type of cage because they have pinch points on the edges. You can eliminate that hazard by wrapping the side edges with long strips of fleece. The edges can cause entrapment of toes and lost toes so the wrapping is important.
You can go ahead and buy a couple soft stuffed animals. Don’t get the ones with button eyes or beads inside. The best are simple small stuffed animals. They love to play with stuffies. It’s the cutest thing ever.