Alignment isn't a trivial proposition. Unless it's going to take
Oooops! Yes I did.
What's the saying? You can never have enough clamps. :-) I have a lot of Jet parallel clamps. But, I think back when I did this style the first time, I used a bunch of those cheap, aluminum, bar clamps from Harbor Freight.
Keep in mind that for most PVA glues you only have to clamp for 30-45 minutes. Given the time it takes to spread the glue, line everything up, and clamp together, you can probably rotate clamps out half way through your shelves.
Also, I've done double clamping before. Let's say you have 36" clamps, you can clamp up two 12-16" shelves w/edging, next to each other, using the same clamps. Use cauls to get away with fewer clamps.
When I've had a LOT of edging or face framing to glue up, I've been known to use pocket screws as clamps where I know they won't be seen. The screws can be taken out or left in. Technically, the screws would be sufficient, but you know how us woodworkers are. :-)