Generally the best time to prune evergreens is late winter/ early spring. Since you are removing entire branches from this tree you can certainly do it right now. Pine trees will not regrow where you cut them so you do not have to worry as much about cutting too late in the season (to avoid winter kill of new growth in other species). Make sure you cut the branch all the way back to the branch collar, and do not remove more than 25% of the tree in any year. The following link will give you some more detail about exactly how to make the cut. https://static.colostate.edu/client-files/csfs/pdfs/618.pdf.
Feel free to re-open this question if you would like additional information.