Look, this isn't Transport Tycoon. If you're able to manufacture a lot of items, then simply manufacture a lot of them before transferring them. That way you'll only need to transfer them once and then never worry about them again.
?
My suggestion only about removing of just the same pattern of tedious clicking. When, for example, only one base can manufacturing that-must-have-for-everyone-power-toy, I do it "a lot" but after forced to clicking hell the same for ship this "a lot" to different places.
The only useful option I could think of would be to add a virtual destination called "Split between all Bases", so you'd select that and it would do an equal split and transfer to all the bases (including itself)
Please, read my post(s) carefully. My english is horrible, I know, but there no walls of text actually. It was already my second variant of suggestion.
But first variant, with selecting only bases in need and then taking items by fixed multipliers per click on arrows (by number of those bases), is better.