I don't think I would be here now if it weren't for charting but that's my personal experience. I don't think it could hurt and only help at a minimum and most women who elect not to do it don't because it stresses them out, they have erratic sleep patterns and can't, or they are very regular and don't need to (and even then some still do!). If you combine charting with one or more of the other fertility tracking signs it is extremely effective. Checking cm, using opks, checking cp etc.
Pros- Inexpensive, non-invasive, can help identify possible fertility issues, when done correctly is extremely accurate at confirming ovulation (moreso than any other method out there), can tip you off early that you may be pregnant during your luteal phase if temps stay elevated.
You basically only need a basal body thermometer (takes temps to 1/100 degree and then pick one of the many computer programs to log your temps daily which by the way need to be taken at the same time each morning before you move or get out of bed. Here's a nice link to get you started and good luck!
https://www.justmommies.com/articles/bbt-charting.shtml