+1 all the way
If you stick to one brand, there may be other accessories than batteries/chargers to share across different tools. Like guide rails. I have a blue router and circular hand saw that both go well with my guide. Which is a very handy thing btw, especially if space to stow away or put up a bench saw is an issue!
One thing to keep in mind regarding cords: agility. In a usual workshop you'll have plenty of power plugs everywhere. Even these power cubes dangling from the ceiling and all that jazz. At home you might have to use an extension cable of suitable length* which creates quite some hassle if you need to move around your workpiece a lot. This is especially true for routers.
The downside of cordless tools, on the other hand, is their price. Because I cannot copy the effect of dying batteries in blue Bosch stuff (Li-Ion and above) I'd highly recommend their 18V battery powered equipment. Always have one battery pack more than tools so you are fully charged when running low on one. My background? Building a wooden house plus interior with that blue stuff, none of which had ever let me down.
If I could've had afforded it, maybe I would've gone with Festool. But they really charge silly money.
*Never use powerful equipment with a cable drum that has not been fully unrolled! Unless you feel like burning down the house that is. At my local fire dept. we did a test not too long ago: a 500W work light plugged into a cable drum was enough to nicely broil 50m of rolled up cord after 15 minutes.