That many pics will take a while, and will most likely have to be done in increments.
(I know this from past experience.)
The bright side is that once it is done, all you have to do is move files on a weekly schedule usually.
Use the Gallery and File Manager apps I suggested to find the files to move, and then share them.
NitroShare will come up as an option.
Do this, as I find the file sorting on NitroShare to be clumsey.
Once you select NitoShare, all devices on the network that have NitroShare active on them will appear.
Choose the desired device, and away it goes.
The speed depends upon your router and your devices.
A progress bar makes monitoring the process easy.
When I do music, about 75-100 songs at a time are about all that my junk can handle.
Small sized pictures (less than 1MB) can be transfered as an entire folder, provided that there are not thousands of pictures in a folder.
My folders are pretty individuallized, so this is not often a problem for me.
Good luck.