Ah OK, so not simultaneously then. Yeah, as POW said, go for it. Many of us have cleared multiple signup bonuses on quite a few networks. It's been so long that I don't remember exact numbers now, but I must have cleared 5-10 or more on each of iPoker, OnGame, and Microgaming.
Yes, you can play simultaneously on 3 (or more) iPoker site claiming a first depo bonus. But I think it's a much better solution for extra money if you do this through an affiliate site, which offers you more promotions, for example you can participate in monthly rake races. It will give you extra added value next to the first deposit bonus.
I think deposit bonuses are slightly over rated. Most bonuses have a basic return of 20%.
A lot of sites and affiliates have long term ways to increase player value by far more than 20%. Things like Rake Races, coaching, freerolls, reloads and lots of other good stuff.
Deposit bonuses would have to be super good to make going out and systematically clearing them a +ev proposition.