First: opening the Earth borders to aliens and hybrids. Initially, it would make sense that the aliens are not walking in the streets without good protection from terrorists. It would make sense for the aliens to have well-protected embassies in different parts of the world. Well-protected embassies are present in main capitals. Protection makes sense since some embassies are attacked by terrorists and demonstrations once in a while, especially during conflicts between countries. A typical embassy has a strong fence, and is protected by guards and technology. With your technology, it would be easy to have an embassy well-protected.
Even though you can appear and disappear at will, having an embassy would be a significant step forward toward human-alien integration.
The next step would be to have humans and aliens interact on neutral ground. This may be a well-protected non-military base. Ideal would be a university environment. Some universities are located away from cities and maybe aliens and humans could build a protected neutral institute on university campuses. Only selected humans would be allowed there. The activities would include educational, cultural and scientific interactions.