For the D5300, as with all DX cameras, my favorite lens is the 35mm f/1.8 DX as opposed to the 18-55mm VR kit zoom. I move as I need to to frame the photo, so I'd get the D5300 body-only and the 35mm f/1.8 DX separately.
If you need a telephoto to get closer, I use the 55-200mm VR. The 55-300 VR gets even closer.