How long have I been in/under contract with the mobile phone company?

1) How long have I been in/under contract with the mobile phone company?
2) How are you coping /handing your settling into the new city?
3) How is your settling into the new city coming along?


Can I phrase the above sentences like that?

1. "Under" not "in."
2. "Coping" or "handling." Note the "L" in "handling."
3. OK

... coping with ...