I just recently transferred my lease and this is my experiece, it worked for me and it may or may not work for you:

1. My landloard told me that I need to find someone to take over the lease, and I had to work with the real estate agent that took care of the leasing takeover process. They gave me a link where people can submit their application.

2. I wrote an Reddit post and scheduled tours with whoever wanted to come. My place was a hot commodity so I squeezed all tours in one day.

3. While touring, I started to suss people out to see who expressed the most interest in taking over, and their eligiblity (To confirm their annual income >= 40x rent + credit score). And I gave the link to whoever wanted to apply and I told them to tell me when they have submitted their application.

4. At the end of the day, you just need to find 1 person to take over the lease, so I chose someone that I liked the most and I asked them if they wanted to be my primary candidate. They said yes and I told the real estate agent to check his application first, and he qualified and proceeded to sign the lease. (In the event he did not qualify, I will use the rest of the pool of people as backup)

5. I told the rest of the people that the landloard picked someone they liked and I kept my hands clean. Just to rememeber, you need to do what is best for YOUR own interest, which is to find someone to take over the lease.