You do what is necessary to get the drop weight horizontal. It really is that simple. If it is horizontal immediately, on the first try, that's great. If you don't have enough slack and have to release tension and re-tension, that's not a problem. If there's too much, crank it back and drop it again.
The biggest difference, for me, when stringing polys are the knots. Their stiffness makes manipulating the strings and tying knots a little more difficult than a synthetic gut. My experience anyway.
For me, it's weaving and getting them through some tight spots where the mains and crosses are very close