I have zero experience with EaseUS so can't comment and won't recommend.
I won't recommend commercial software either when there's free alternatives that do the job perfectly. Macrium Reflect (free), mentioned in the first answer is a good tool that I've used and can vouch for its reliability and easy of use.
The one I use the most for this purpose, however, is the Linux based and FOSS Clonezilla.
In any case you would be using external bootable media, USB or CD, to boot from and run the software. Macrium Reflect can be installed in Windows and the bootable media prepared from the software itself as well as the backup process; with Clonezilla users burn the media directly, using the downloaded ISO file, boot from it and follow the instructions.
Could there be complications ?
YES, everything has the potential for complications, life itself is (very) complicated.
However, if the users know how to use the tools and what to do the chance for complications is very small.
The case described in the question is very typical - cloning a drive to a larger one - and doesn't require user actions prior to the backup itself.
Make sure that everything required is being backup up or cloned so, in this case and regardless of the software, you want to clone the whole drive and then, in the new drive, expand the system partition to use the full (new) capacity.
I used EaseUS and at the first there was chkdsk scan. Afterwords the system worked fine, but I thought it was a bit slower than before. Not sure if it was the cloning or smth else I had done. – alfred – 2018-10-08T14:59:05.133