multiple wifi access point options

Hi. For a house that fully network cabled in each room, with poor wifi coverage....I'm looking at wifi options

I was thinking simple wifi access points in the 4 rooms with really bad wifi signal.Just cheapish access points that plug directly into the power socket & connect that to ethernet . Having the AP plugged into the wallis just tidier than the usual AP that have separate power packs .Then a different SSID on each access point . go to another room, then manually connect to that AP

The other option is a integrated, managed system , single SSID the supports 'roaming' between rooms & drops the signal & forces a reconnect tothe closest AP as the user goes from lounge to bedroom etcWhat systems do that properly , ie drop & force a reconnect to the closer AP ?

What Im trying to avoid is the 'it doesnt work' caused by devices that wont auto reconnect to closer AP's as the user roams around the house