Under contract on my first flip! Need advice on getting tenants out

[Charles Schmidt]

Last week I got a house under contract, and the scheduled closing date is Nov. 20. The numbers look good and the house needs pretty minimal work, so I'm feeling pretty good about the deal in general, but the house is occupied and I'm trying to figure out the best way to get the current tenants out. 

Before submitting an offer I was able to look at their current lease, and it clearly states "The landlord reserves the right to cancel this lease at any time with 30 days written notice." I think I'm fine legal-wise, but I'm not sure exactly what I'm supposed to do logistically. Should I go to the house in person, introduce myself as the new owner, and deliver some sort of written notice? 

I also feel bad because they just moved in on September 24th, and if I give them 30 days then that's right in the middle of the holidays (12/20). I'm thinking about giving them until the end of January to move out, and then maybe a cash incentive if they can get out before Dec. 31. I am using hard money to fund this deal so time is money, but also just trying to be a good human because it seems like a nice family with small kids and I know from experience how much it can suck to get kicked out of your home on short notice. 

Thanks in advance for any advice on this!