First Step to Deal with Inherited Tenant

[Tony H.]

Hi BP,

I have been in contract for a duplex here in Sacramento. Estimated closing is mid July.

There is a long time tenant in one of the unit who have lived there since previous previous owner..their rent is so low compared to the are and they are on month-to-month.

My agent met them and told me that they are very nice family of 4. Polite mannered and such, he recommended me to keep them as tenant. 

I told him, that I want to meet them someday as we get closer to closing date. In the meantime, I have prepared my lease agreement and I am pretty confident I've covered all the needed basis.

My question is:

-Should I get the current tenant sign an estoppel and possibly my new lease before closing?

-I plan to raise his rent a little bit ($50-$75). I know I have to give 30 day notice (the notice will be given on 7/1 - about 2 weeks before closing), so can I put the lease start date 30 days from the closing date? or perhaps starts 8/1.

- If all of the above are not possible, what's the FIRST THING I need to do after closing?

I apologize if this has been covered somewhere, I tried to look but could not find exact answer. 

Thank you!