If I recall correctly once a lease expires you fall into a month to month situation if a new lease wasn't signed or offered. Technically you're now a month to month tenant at the old rate. So no rate increase and thus no 60 day notice requirement since your lease is now officially expired.

And I think being month to month also alters the notice rules after which you can be asked to leave. I would look up the notice rules and set that as my timeline to leave. Cause taking the April deal also means taking the increase.

Mentally put yourself in the mindset that you have to gtfo, and start making decisions about that. Look up the month to month notice rules so you know your rights. And as a last resort contact a lawyer to advise you. A few hundred dollars for a meeting is worth the stress alleviation it can provide once you know where you stand legally.