I have interned full time at company A for the past two summers and have worked part time for them during the school year. I am currently in the final interview process of applying for a position at company B.
Keep in mind, I have a fairly good relationship with company A. They have a very relaxed work environment and it has been fun interning with them, but they are a very small company and so there may not be too much room to move up. On the other hand, company B is a large company that will probably have the resources to maybe offer a little more than company A. Also company B is located in a preferred location.
How should I ask my current employer (company A) if they would hire me for a full time position when I graduate? How do I subtly indicate that I am applying at another company? Also, during my final interview at company B, should I indicate that I have a good relationship with A and that I could envision an offer from them soon?