i add eggs to my deep conditioner sometimes, and i add it to my avocado mask too. just be sure to mix well.
if i remember correctly, using only the whites add more protein to your mix, and the yokes will be more moisturizing due to the natural cholesterol. So if you want moisture but not too much protein, or vise versa, omit one or the other... or use both for a nice balance.
but just eggs in hair by themselves, for me (twice, early in my journey) were a hassle as the whites partially 'cooked' when i was in my warm/hot shower or when i had it under a plastic cap under a dryer. All of the egg didn't convert, but some of the clear egg whites turned white and were beading throughout my head... was difficult and tedious to wash out and took several washes to get all the little egg pieces out... so if you use it straight, i suggest not using heat, and using warm or cool water to rinse it out and be mindful of the steam in the shower/bathroom.