Help with eviction at end of lease

[Kyle D.]

hi,

I have a tenant who is constantly late and we are having to threaten eviction and then he borrows from his mom and pays (last 3 times).  Well, now it has come to a head and he is late on November rent and has $800 out of $1350 (late fees now are close to $1500).  I know to not accept partial payment, but I have a general question:

Im in the state of Florida. Their lease expires at the end of Jan 2018.  

If I take partial payment for the next few months (my logic being if I take 3 months of partial payment,it might be better than going through 3 month eviction process and getting no money and a wrecked place), when their lease is up, do I have to go through the eviction process (Incase they just decide to squat), or is the process more favorable for me after the lease is up? Any google links on the subject of expired lease / how to get them out would be much appreciated.