Releasing Inherited Tenant from Existing Lease

[Alex M.]

Hello all, 

I am closing this month on a triplex in Florida. I am inheriting a tenant with three cats that is reportedly very rarely actually staying at this apartment since she stays with her boyfriend most of the time. In addition to the pets, her current rent is also under market (currently paying 850 while market is closer to 1200). This lease expires in March 2020. 

Does anyone have an effective way or advice on offering this tenant to terminate her lease so she can potentially stay with her boyfriend? This would help me by getting rid of the pets in the unit, updating that unit and ultimately getting more rent out of that unit. If anyone has an idea on how to approach this, any insight would be much appreciated!

Thanks, 

Alex