Hello Mr. Turf,
This depends on what type of mower you are using.
For a push mower, there is actually an attachment that allows you to bag your grass clippings in a much larger bag, making you not having to dump as often.
See this link for more details.
https://www.youtube.com/watch?v=vRl_JOmf0WA
For a Riding mower or zero turn, depending on the maker and model, there are bagging attachemtns, usually in twin or three baggers.
However, a faster way to do this is to get a leaf vacuum. They are a towable attachment with it's own engine where it sucks up, shreds, and stores grass clippings and leaves. The tube hooks on to the main discharge shoot on the mower deck. You will not have to dump the grass nearly as often. I would recommend getting one by DR Power Equipment. Their products are absolutely outstanding.