It looks like your camera was hand held. I'd use a tripod to reduce camera movement. I'd use the editor to cut out the panning upward and just join the clips with a film dissolve transition. I'd use the editor to zoom in on the face at different points in the video to give it a little more variety. I couldn't understand what your daughter says in the first few seconds of the video. I'd make a title sequence with the title lasting 5 or 6 seconds at the start of the video. Nicely done.
For editing I use Adobe Premiere Pro and Adobe Audition for sound editing. The programs work together to let you edit the sound on the video timeline within Premiere Pro.
