Where to find switch battery connector?

hey,

I was messing with my nintendo switches and wanted to check with multimeter if the battery had any charge left.

But i could not get with the probes into the contacts of the connector, so i tried stripping the cable but that was also a hasle.

So i just pulled the cables out of the white connector..

I tried pushing them back in and several things but i ended up destroying it :'').

Where can i find the white connector things, and what are they called exactly?

Im finding several connectors that look like it but they are 10 times bigger then the one i need.