Duplex Purchase as primary residence and a tenant eviction

[Kevin Muthima]

Found a duplex in central California. I'm confident it's a good move for my family (we are currently renting). Plan is to live in one unit and rent out the second unit. The duplex is currently fully occupied (both month-to-month thankfully)  and the seller wants us to handle the eviction of the tenant. There is one tenant who is perfect, he has even done quality modifications and improvements to the home (with the owners approval I believe). So by default I know which unit I'd like vacated. This specificity in which unit I'll occupy makes me a bit worried because I now only have one tenant to ask to leave. I hope the stars align and they will be comfortable to able to relocate.

As per my mortgage, I will have 60 days to occupy the residence. How strongly does this get enforced if at all? I'm worried with the moratorium in place it might possibly take several months to get the tenant out. I'll do my best and offer cash for keys if need be and to a reasonable amount (what would you offer need be?). 

I'm planning to offer the tenants a lease explicitly stating that they have 2 months only. So I feel this should suffice. If they stay beyond 2 months, then they will be breaching my contract and hopefully I have some legal grounds to attempt to ask them to leave. So far I know the husband in that home still has his job despite covid. I hope wife does too. 

I can't accept payment from them if they stay beyond 2 months because that will be me permitting them to stay additional months. So if they stay beyond the 2 months and they aren't paying, and the contract was only for 2 months, would I have grounds to receive any form of compensation once the moratorium is lifted?  

General thoughts on this issue are welcome too. Thanks for your time in advance from a newbie.