I do something similar for toe up socks. It's my own pattern and starts with a cast on of four stitches, joined in the round, and gradual increases for the sock toe. I would suggest doing this on circulars. There are many good Youtube videos out there. If you get stuck, please ask us. What I do is join the work and kfb on all four stitches in the first round. I then pull the tail as tightly as I can to close up that hole. That will save you some sewing work when your project is done. Knitting on circulars with magic loop is easy. Just remember that every time you switch needles, your yarn should be BETWEEN the two needles, or coming from the inside of the tube. That way you won't get an unwanted yarn over gap at the end of each needle.
Welsh corgis are cool.