Despite the fact that the MJO, one of the primary drivers for tropical cyclogenesis in the early season, will be leaving our part of the world for the Indian Ocean and western Pacific, global models are consistent that we have to still watch for development.
Our first area of interest comes in 8-9 days off the Southeast coastline, as an area of low pressure gets cut-off and spins up over the Gulf Stream. This solution is depicted by the ECMWF, GFS, and CMC:



The second area of concern comes just a few days later on the GFS...it has been consistent with a strong trough over the eastern United States dragging the monsoon trough northward across the western Caribbean and allowing the development of an area of low pressure that tracks across the Yucatan Peninsula and spins up into a decent tropical cyclone.
Latest run:

The model itself has been consistent, but no others show much of anything yet. We'll have to wait and see.
Welcome to hurricane season.