When you measure the space for a new refrigerator, make sure to take several measurements. From top to bottom, left to right, front to back, it's worth measuring a couple of times for accuracy. Remember that homes settle and what one measurement is doesn't necessarily mean that it will be the same measurement on the opposite side.
When it comes to the door opening of a new refrigerator, you need to think about how far the door will open and fill the space of your kitchen. Many refrigerators need to be open to 90 degrees or more to allow full access to vegetable and door bins. If space is a concern, be sure to review the installation instructions and specification sheets prior to your purchase.
Then you'll probably need to look into French doors or side-by-side doors to save space.
If there's not about 2-inches of space on the hinge side, then you'll have to keep in mind that the refrigerator will need to be pulled out about 2-inches to make up for this.