The Israeli Battle Dressing and its imitators are probably the best battle dressings on the market today. They can be applied with one hand (assuming you're careful) and provide significant extra compression compared to the old US military style bandage so many of us are familiar with. Couple with QuikClot, you should be able to handle some pretty drastic wounds and keep someone alive long enough for the professionals to get them to the hospital.
The following video gives you a quick intro to the use of the Israeli Battle Dressing, and you should have some longer and interesting videos show up in the sidebar. Enjoy.