What are the tools that you most often use to draw graphs, especially with labels and additional features such as tables appended to the graph to save space etc. etc.
For graphs and tables you can use softwares : origin, matlab or Microsoft Excel.
to incorporate graphs and tables in your papers you can think of using opensource software : LaTex. This software enables you to make changes in the format / layout of your report / paper very conveniently.
If you know how to use R, you can accomplish a lot of those things. The basic plot commands, have lots of options to customize your plots exactly how you want them.
If you are interested in adding tables to your charts, you can check out this link.
It's definitely Plots.jl in Julia. Its backend independence lets you plot directly to Tikz via PGFPlots, use matplotlib and GR, use InspectDR or GLVisualize for huge datasets, or output to Javascript via Plotly. All with the same syntax: change one line and you change the output. MATLAB/R/Python libraries pale in comparison.