I didn't have a traditional Moses basket; but, I had something very similar. What a blessing!! The small lightweight basket allowed me to carry my child easily from room to room as I worked without waking her if she was sleeping.
Many babies like to sleep in a snuggly, confined area. They have just spent 9 months in the womb and are accustomed to a confined environment. Some find the largeness of a crib intimidating.
At night I would prepare everything the baby needed for her night-time feed and placed it beside the Moses basket on the floor beside my bed. At night when she required feeding, I would slip her out the basket, bring her to bed and feed her. Then I would place her on my stomach and burp her. The warmth of skin-to-skin contact helps the burping process. When she'd had her burp, I would slip back into the basket; and, we'd both go back to sleep. Much more gentle on both of us than both of us having to get out of bed, move around, get chilly, wake up thoroughly...you get the idea.