I am considering trying a change of PhD supervisors.
While I do get along with my current ones as humans (they are nice to me), I feel like this is not the case academically. Our interests don't align as much as we originally (end of last year, when I started) thought, and I feel like they are going to take me into a kind of project now that does not fit my expertise or where I want to go as an academic.
There is a group at my university that does things that would fit my expertise and that I would be interested in working with. I want to contact them about it and see whether they would be willing to "adopt me" (I am funded by the university with funds that are not bound to a project or a supervisor).
My question in this situation: Who should I ask first? I am worried that if I tell my supervisors about this without having sorted my "exit option" I would put myself at risk of alienating them and then being stuck in that situation if the other group does not want me/this or if I somehow need them to make this change. Then again, if I talk to the other group first, they might point out I should just talk to them first. Any advice?