Making a mesh network with access points

[Assfault]

I live In a 4 story all concrete and cement house, and to counter the fact that our wifi becomes really slow when you're behind a wall, we have wired access points in every room. Right now we have multiple wifi SSIDs like -"a's room", "b's room", etc. Is there any way i can turn these access points in a giant wifi mesh with just 1 SSID? kinda like how hotels do it.
Our main router is the Linksys Max-Stream EA7500 http://amzn.in/2rcrqQ9 its in the basement. 
I am planning on getting new access points, because the ones i use now the D-Link DWL-G700AP http://a.co/i4V1yL6 are really old and don't go over 40mbps. I get about 150mbps wired, and am planning to switch over to a gigabit connection in a couple months. So any new access point suggestions would be really helpful.
Thanks for your help

[YaBoiWill]

Just give them the same SSID and password and it should work. 

[Falconevo]

2 hours ago, Assfault said:

I live In a 4 story all concrete and cement house, and to counter the fact that our wifi becomes really slow when you're behind a wall, we have wired access points in every room. Right now we have multiple wifi SSIDs like -"a's room", "b's room", etc. Is there any way i can turn these access points in a giant wifi mesh with just 1 SSID? kinda like how hotels do it.
Our main router is the Linksys Max-Stream EA7500 http://amzn.in/2rcrqQ9 its in the basement. 
I am planning on getting new access points, because the ones i use now the D-Link DWL-G700AP http://a.co/i4V1yL6 are really old and don't go over 40mbps. I get about 150mbps wired, and am planning to switch over to a gigabit connection in a couple months. So any new access point suggestions would be really helpful.
Thanks for your help

Have a look at the Ubiquiti AC Lite, I have a 3 story built back in the 1900's and I use 3 of them to cover the whole house and garage with overlap between each floor.  Should give enough coverage for everyone and you can use it in a mesh configuration.

[Assfault]

19 hours ago, YaBoiWill said:

Just give them the same SSID and password and it should work. 

I tried that but most of he time my phone refuses to switch over to the closer faster connection if the older connection is even slightly available 

[Assfault]

I came across dd-wrt while looking for the answers, is it possible to use it to try to create a mesh network?

[YaBoiWill]

50 minutes ago, Assfault said:

I tried that but most of he time my phone refuses to switch over to the closer faster connection if the older connection is even slightly available 

Most phones and tablets will try and stay connected to one access point instead of switching to a better one. try using less routers so that one is always out of range from the other to help avoid the problem