Barnet is interesting, even though on paper it requuires only the tiniest pick-up to be Labour gain. I think it might be the only "swing" (in ordinary situations) borough that voted Tory last election and Remain. The Tories, fwiw, won all three constituencies in the borough, although all in a marginal sense (with Hendon being only won by 106 votes). This was the 2014 result:
(Colindale isn't independent, it was delayed: Labour won all three seats. The split wards were Brunswick Park, where a Tory won; Hale, with one Labour and Childs Hill (one Lib Dem).
The big factor that led to a relative underperfomance in Barnet was the anti-Labour swing in the Jewish vote. We'll see if the party has repaired any of the damage here, especially in the wards with the most Jews like Golders Green, Finchley Church End, Edgware, Hendon and (Hampstead) Garden Suburb. Counteracting that is a big pro-Labour swing in Chipping Barnet, the seat that covers the NE of the borough (and also the least Jewish). Almost certainly a pick-up, but there may be odd ward swings. I think Labour will easily take the split wards (including Childs Hill, which is a three way marginal), and Oakleigh and may penetrate elsewhere in the borough (High Barnet? Totteridge?).
The Tories won the Hendon constituency by 1,072 votes, the 106 vote win was from 2010. Hendon was also probably the Tories least bad result in remain London.
I also think you are overestimating how well Labour will do in Barnet, I agree they will likely take the council but far more narrowly than you seem to expect. The Tory result in Barnet at the was not all that bad considering the borough voted 62.2% remain and thus I expect the Tories will do significantly better here than in remain voting inner London boroughs where they will suffer a much greater swing against them. As for the Jewish vote, they're already an extremely anti-Labour/pro-Tory demographic and nothing has happened in the last year to remotely change that.
Also it is worth noting that Labour's performance in Barnet (vs. the Tories) in the 2014 locals was already very strong so the scope for gains may be limited. On the other hand the one thing that may help Labour vs. last years general is that EU citizens have a vote and I think Barnet has a fair number of them though I'm unsure where in the borough they're concentrated.
-The wards you mention of 'Golders Green, Finchley Church End, Edgware, Hendon and (Hampstead) Garden Suburb' are safe Tory wards and Labour will be nowhere near to winning a seat in any of them.
-Labour will easily take the remaining Tory seat in Brunswick Park but this may well be counteracted by losing their seat in Hale to the Tories (possibly the only Con gain directly from Lab in the capital).
-As for the three fully Tory wards in Chipping Barnet (Oakleigh, High Barnet, Totteridge) it is likely the Tories will return full slates in all of them. Even with their poor performance in Chipping Barnet in the snap election they still would have been comfortably ahead in these three wards. Totteridge is especially safe.
-Childs Hill is not quite as easy for Labour to pick up as you presume because it is the only ward in the borough where the Lib Dems are remotely competitive so presumably they'll throw everything at it. A perfectly split Lib/Lab vote could allow the Tories to hold on though I don't think this is likely. However I would note the Tories probably either won or at least came relatively close to winning Childs Hill in the general (with Woodhouse, E Finchley, W Finchley going strongly Labour and Golders Green, Garden Suburb, Finchley CE going strongly Tory with Childs Hill being close). If the ward goes 3 LD though it could mean a hung council (and thus a Labour minority).
-The only other ward to watch is West Hendon where the demographics have become better for the Tories in the last couple of years with the regeneration of much of the council housing in the west of the ward. Whether Brexit has torpedoed their chances this time is yet to be seen though they were probably not all that far behind Labour in the snap election (it's Burnt Oak and Colindale where they get blown out of the water by ludicrous margins). A Labour hold is the most likely outcome but don't completely rule out at least a partial Tory gain. It's probably the key to them holding the council.
In conclusion I expect Labour will take Barnet albeit with a fairly slender majority.