Line graph points at edge of plot

I am trying to create a line graph that displays a count of specific jobs done per month. The table looks something like this:

The wanted line graph should then show a count of the "Cleaning" job per month. The wanted result should look something like this:

But what I have right now look like this:

The problem is that the points are barely visible and halfway outside the plot. So my problem is, I need a way to dynamically set the limits of the Y-axis such that the points don't end up like this. I could set a fixed range for the Y-axis, but since some jobs range between 1-3 and some jobs from 80-100, a fixed Y-axis wouldn't be the best.

Is there some way for solving this?