I use 3 monitors too but seldom reposition an application after moving to the desired monitor.
If all the databases are in the same folder, you can multi-select in Explorer and then launch all at once (via Enter or right-click -> Open). Alternative, you could create shortcuts to the databases in a single folder (and select+launch as above) or create a batch file (text file with .bat extension) like
"C:\path\to\first\db1.urd"
"C:\path\to\second\db2.urd"
and launch that to open all of them at once.
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