I am trying to build a 3 wireless AP network with 5 wire connections. I am prefer an all in one equipment for AP POE power , routing and switching. Someone, please tell me what Mikrotik equipment I should purchase.

Too few information... But rbd52g is nice device that could do everything.

When you add in all in one and include wireless I have to shake my head.
Separate wifi is a far better way to go allowing the OP to place the AP in optimal locations and yes plural because dont expect optimal wifi with one device.
Additionally wifi standards/tech is a moving target and why make a router obsolete because you have tied it down with wifi.
Go for the best router $$ can buy and to the wifi devices separately.

Sure. I expect the op buys as many devices as he needs to cover his area.

Any recommendation without knowing the layout of the wifi area to be covered is very generic at best.

Right. Like the question was... Still I don't know how to answer the question without starting an investigation...

We should do lunch LOL.

Lunch after dinner?

There is always room for more shrimp or calamari with beer!!

Aren't we too much off topic? I should moderate us...

I often eat and drink while helping in the forums!! Multi-tasking!! I wish the OP would respond though!!