Your baby is still new to your home. Let him come to you on his own terms. Sounds like he is getting closer by sleeping on the nightstand.
Make sure he is safe climbing around on things.
My Max insisted on sleeping in his xpen with the gate latched, next to my bed, from 13 weeks of age to 1 year. One cold morning, I picked him up and brought him into my bed. From then on, he felt safe sleeping on my bed.