Tenant won't move out

[David Richard]

I just closed on my first property. I'm buying it as a primary residence and the tenant there recieved 60 days notice from the previous owner to vacate the place... the tenant is not complying and I feel she will probably stay there long term. She verbalize that she will stay there for another 6 months and the family has indicated that if i gave them 30K they will vacate the place immediately... being my first property in a two family home I would like any advice you guys have. The tenant has also stated that she did recieve the 60 day notice but would want a letter from me as well. What should I do? This is in New Jersey. Thanks!