As much as I love Mikrotik for routers and Point-to-point links, for generic wifi distribution like you are looking for, look into Ubiquiti UniFi. They are a nice managed AP designed for blanketing an indoor area.
Depending on how the network layout is, I typically use a RB450G as well to segregate the wireless on it’s own VLAN. I like Mikrotik’s hotspot better, as well as the ability to do QoS and DHCP (two things the UniFi does not do on its own).
Otherwise, take a look at the RB711-2Hn. 3-4 of those should give you all the coverage you need and then some.