WiFi Indulgence

I have switched Internet providers to Spectrum.
They provided a modem (with phone support) and a separate wifi router
(at my request two boxes, no extra charge to do so but $5/mo for the
wifi router. Acceptable to me.). Tests out at 100Mb/sec. But their
wifi router is not all that fast internally and signal strength is just
barely adequate in my front room. So ...

I have a cat5 wire running from this WiFi Router located in the back
room to the front room. There I have a switch to allow connections to
the TV and other devices. I only want to use the wifi on devices that
are not close to or able to use a wired connection.

Before all of this I purchased an access point and also a supposed high
power internally fast wifi router. Both on hand in the box unopened.

The access point is not the same brand as the Spectrum WiFi router if
that matters.

Now the questions:
If I connect the access point to the cat5 in the front room can I use it
? What do I need to do to set it up ? Will it have the same SSID ?

OR

If I connect the fast wifi router to the cat5 in the front room can I
use it ? What way would I set this up ?

To set it up I need to isolate it from my LAN and plug directly into a
laptop to adjust the SSID etc, correct ?

The following I really do not know how to do I am just repeating the
high level stuff I heard about. So I may be back for more detailed
instructions.

a) plug it in and use the SSID and password as exists in the fast wifi
router. i.e. use a different SSID that the Spectrum setup.

b) redo whatever needs redoing in the fast wifi router and the spectrum
wifi router to get the same SSID and password ?
What do I need to do ? Block certain IPs on the Spectrum and block the
Spectrum used IPs on the fast router ? What else ?

Really I am asking what is the best solution to get wifi in the front
room that is a strong signal ? I have three wifi security cameras there
that I want active.

Thank you in advance.