That being said, ask your attorney about non-competes and IP before making any moves. If you do your own thing, draw extremely clear lines to be sure you started from scratch and took nothing from your current company. No code, no docs, no contact info for customers, nothing.

I would also suggest to not start anything right away. When I've been in situations where I thought I could do more with a product than the current team, and then spent 6 months away from it to clear my mind and look at bigger pictures... I have yet to actually want to go back to a prior problem space. More often, I just close the chapter and find something new. In short, be wary about following what you happen to be doing today vs. what you truly care about.