I suggest to do not perform any difference: Choose the smaller kidney in the case

Percutaneous renal biopsies should be performed on that side where it is easier. The most important reason to do it on the left side was previously (prior to ultrasound-guided  kidney biopsies) to avoid an inadvertent puncture of the gallbladder.

My preference is for the left lower pole because the right kidney sits higher under the rib cage which can make it more difficult to get an uncompromised view of the needle on ultrasound.  I also aim to biopsy the lateral edge of the kidney obliquely to maximise cortical sampling (unless juxtaglomerular glomeruli are preferred as in nephrotic syndrome) and because it aims away from the great vessels of the abdomen and renal hilum.  Right kidney biopsy should be considered if there is cormorbid splenomegaly, left lower pole cysts or scarring.  Bilateral renal biopsy during the same procedure is contra-indicated.