Grants, fellowships or whatever seem to fit into three categories.
I could totally get that. Maybe it's a small award. Maybe it's right in your particular area of research. Maybe it's internal money and there's not too too much competition. Not a slam dunk, but...
At least worth a shot. Most things fit here. The big government grants. Maybe NSF, maybe NIH. Marshall some pilot data and start firing some specific aims.
Maybe once I ascend to Valhalla. Often very broad calls. Maybe also limited submission (1 applicant per university). Asking for trans-formative innovating. First question of application might be to list the *other* grants you have (seen it twice). We only give money to scientist who are so innovative they no longer require currency. I don't know if these are even worth the time.