Welcome. I think you're doing the right thing with the lessons and the Speedlines looks like nice clubs to get started with. However, while I admire the opinions of many of the folks on this board and believe you would indeed get a lot of good and certainly well meaning advice from forum members, while you're getting started and taking lessons from your local pro it might be best not to muddy the water with too many outside suggestions by posting videos of your swing. Golf is hard enough without introducing questions and doubts about what you're being told by your pro. Also, lessons to develop a solid golf swing tend to be cumulative often building one upon the next. A perfectly good suggestion that is out of the sequence your pro is working in could hurt more than it helps.
Once you are playing pretty good and not actively taking lessons is time enough to post your swing video and find out about all the things you could be doing better.