I am dealing with a similar issue with a tenant here in Texas as well. However, my TT always asks every month to pay the rent late, so I am starting the eviction process and hoping he pays the rent before I have to file.
Steps in Texas:
You can choose to give them the option to pay or not. If you do give them the option to pay...you have to first send them a notice of the rent and late fees due. (hand deliver to anyone over 16yrs, taped to the inside of the main door, or via certified mail)
Once you've sent that, you can send a notice to vacate property via the methods above, but if you are giving them the option to pay rent in full plus late charges, you can send via certified mail but you have to give them 5 days instead of 3. The other methods are only 3 days.
If you decide you just want them out of the property, then you do NOT need to give them formal written notice of the amount of rent due... you can simply send a 3 day notice to vacate. However, if you do this, you are not allowing them the option to bring rent current...
If you have a good history with these TT, I would send the late rent notice and go from there... That way you're covering your bases but don't need to be overly aggressive. At the end of the day, this is business... but I like to help my good TTs when life throws them curveballs.