I don't have much if any of that braiding on the wire that's currently in there....

It goes from one end of the cable to the other! You have to remove the outer plastic sheathing, being careful not to cut through the braiding.I don't have much if any of that braiding on the wire that's currently in there....
is this what i need to do this?I would put an F connector on it and extend it with an F coupler through a brushed cable outlet plate.

Yes but if you haven't got the crimper to put the f type plugs on just use the coaxial type plugsis this what i need to do this? View attachment 390235
First time yes and it worked, now I couldn't get that in, not long enough and it's not working. Does that inner white bit need to rest on the bit where you put the red arrow for it work properly?
Yeah it's just too short and not enough space to be clamped with the two screws unfortunatelyIn Motties example photo, there are two actual terminals. The square one, with a single philips type screw, then lower down a sort of metal clamp, with two screws. The inner wire centre core, needs to be clamped under that square single screw.
Under the black outer insulation, is a braided copper screen, that copper screen needs to be clamped under that clamp with the two screws.
a wiggle and a tug - you may be able to pull a few extra inches

I thought youd get all that behind the plate and just have the wire coming out, but that'll do if it works I suppose and I assume it's out of sight anyway.Job done and channels all back....thank you all for my silly questions. Much love and thanks again! Now for a clean up and touch up....View attachment 390308
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