what do you use to hold your bow while in a tree screw in tree bow holder,platform bow holder please list the pros and cons so to help me decide on what i want to try this year while on stand

The RealTree EZHanger they come is 3 different sizes. Ony con is the price.

I made my own that bolts on to my stand. My bow is right by my side. Very little movement to reach, and as long as I have my stand I have my holder. One less thing to rember and carry in.

i have a bolt on stand holder but i cant seem to keep my arrows in my quiver from hitting the platform cause i dont takemy quiveroff

That's the same reason I don't use a stand mounted holder.
I use the long bow holders that fold in the middle in most of my stands
In others,if they have a limb of the tree in the right spot I use one of the .69 cent hooks
I also have a couple of yellow,bicycle hooks that screw into the tree.

your not worried that your bow will fall thats the only reason i dont use those the dont seem long enough

Which ones?
I have used the little hooks for 20 years and never had a bow fall.
You do need to take them out of the tree every year even if you leave the stand up like I do. They are pretty thin screws and they will rust in the tree. I have had that happen.
The bicycle hooks need to be bent,widen out the hook part to work good.

use the little utility holders that come with pull ropes

I buy a couple of those every year to get the pull ropes too.
Then a handfull of the hooks, I tend to lose them or loan then out to guys I hunt with that forgot theirs
We have about 15 stands out so I need a bunch
It is always nice to have a couple spares in case I use one of my climbers or need a hook to hand rattle bag or other items

Stand it on your knee and ur always ready.
But i hang it on a rubber coated hook, so u dont scratch up ur bow.