No I never played with piano. Not sure why. My flute teacher was just teaching me the basics and I think at some stage if I had continued with her then she might have accompanied me on the piano. We did a couple of duets but mainly I played on my own. I think the reason for that was so that she could watch me play and correct anything that was not correct ie hand position and posture and mouth position.
Anyway I did some flute today and my breathing is getting better. The teacher on the video that I now use has made a breathing video. She says you should play long notes and see how long you can hold a note and each time you blow, you should try and hold the note longer than the time before. This is actually what my teacher was doing with me. I am more relaxed now about the flute because I am taking it at my own pace rather than trying to cram my practice into one week which on a new instrument is difficult and more stressful.
Not sure why but at the lessons I could not balance the flute properly but I have absolutely no problem with balancing the flute at home. I think it has to do with rushing from work to the lesson and the environment where the lesson was held was not the greatest