The Moses basket is basically a bassinet without legs in the US.
My LO was terrified even at 3mos at being alone. But, I pushed the issue at 9mos. Our room is big, so she was in her own bed, but just in eye line sight of us. I think you give it a go and see what happens. I was a working USA Mom, so I only had the first 3 months really to get her in rhythm and get myself back into working mode. However, since I was breastfeeding, it saved my sanity not to have to go all the way down the hall. I could feed her then re-snuggle with my human bed warmer DH