Except for the fact that in windows 10, the control buttons (minimize, maximize, close) are bigger now, the rest of the functionality has not changed.
You can still always drag at the place where the title of the window is located.
Alternatively, there is plenty of software out there that will allow you to control how to move the window.
There are a few windows settings that will help you change the size and thus the area where you can click to drag by title. For example by setting a lower DPI setting, all controls and text become smaller, making the space in the titlebar where the title is effectively larger.
Changing to a high-contrast theme allows you to individually set things as font size. Setting the title font size to a smaller size decreases the command buttons in size as well, increasing the size where you can drag as well.
EDIT: Microsoft seem to have removed the ability to change the font size on the high-contrast theme since the Creators Update. :(
Lastly, if you do not want to change the appearance, there is another method you can use to move a window.
Each window has an identification icon on the top left. If you click it, a menu pops up. The same menu can be accessed by hovering on the program in the taskbar until the small preview window pops up, then right click on that preview window, or alternatively, shift-right click on the program in the taskbar.
In this menu, one of the items is called Move. If you click it, the mouse cursor changes into a 4 directional arrow. If you now press an arrow key on your keyboard, you can move the window by the arrow keys. You release the move action by pressing enter In addition, the window snaps to your mouse. So you can now move the mouse to freely move the window as you normally would. Press left mouse button once to release its grip.