Multiple AEBS roaming network and switch

For a roaming network using multiple hardwired Airport Extreme's, can both the main and secondary AEBS go through a switch or does the secondary need to go direct to the main AEBS?

I am currently running three AirPort Extreme base stations as a roaming network via an Actiontec router for our FIOS internet. When installing it the tech turned off the wireless on the Actiontec and just passed the signal to the main AEBS for wireless then used all the available ports on the AEBS and the FIOS router to hardwire as many rooms as possible -- two of which I subsequently added additional AEBS. I am lacking enough ports for all the rooms and want to add a switch but not sure the order to route everything and still maintain roaming. Also assumed routing all throu a gigabit switch instead of the Actiontec for the other rooms would increase the internal network speed.

If I buy a switch and plug the switch into the FIOS router and then each AEBS into the switch will the roaming network still work.

Thanks