CA Rent Control + Covid Question

[Shelby Pracht]

We acquired a new multifamily property in the height of covid this year with a handful of tenants paying extremely under market rent (read, less than 50% of current market rate). The tenants in question are on a month to month lease. I've given them notice that we wish to terminate the lease, but they are pushing back and don't want to leave. (I mean, with rent that low I wouldn't either). Because this is a month to month lease, am I allowed to be firm and make them leave, or would this be considered an eviction, which I know are not allowed now because of covid.

We are planning on renovating the unit and then raising it to market rent.

I would also consider allowing tenants to stay if they would be willing to pay closer to market rate, but I don't believe I can legally request that CA rent control laws. 

Anyone have any insight? TIA