Tenant Owes Rent- What should I do?

[Sam Zawatsky]

So, I've got a rental property with tenants that I inherited. I noticed that they kept making more and more of a mess over time, and I have caught them lying to me about multiple things over the past 2 years. I gave them notice 3 months ago that I will no longer be renting to them, and they paid very late each month except for this last month. They kept telling me "sorry I'm gonna be late", and I didn't want to evict them with only 1 month left because I felt like they could be spiteful and do a lot of damage to the property. I do not have a security deposit from them unfortunately. So now they are supposed to be leaving in 2 days, and haven't paid rent for the last 5 weeks. They owe me $1300, and I feel like they are trying to get by and just leave without paying me the rent that they owe. I am considering my options on what to do, and I feel like I have the following options:

1.) Find out somehow where their new address is (not sure how to find this out affordably), and file a lawsuit against them in small claims court and hope they pay or eventually get their wages garnished.

2.) Allow them not to pay and just forget about it.

3.) perhaps something else that I haven't thought of.

Any thoughts?