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Can you not make a permanent fruit cage over them all or maybe individual frames covered in net? That way you can either walk in to weed, prune, harvest if you make a cage or just lift off each individual frame to get at each shrub. https://www.rhs.org.uk/advice/grow-your-own/allotments/allotment-styles/fruit-cages I find insect netting isn't that expensive and would last longer and be easier to handle if stretch over and attached to some sort of frame made from wood offcuts, old pallets or just that cheap, green, treated wood sold by builders' merchants for roofing battens.
I agree that a frame makes it much easier. Unless you have thornless gooseberries, netting gets horribly caught up in thorns and twigs, and tears are unavoidable in my experience. Having said that I don’t find birds bother too much with gooseberries. It’s blackberries that mine go for but that might just be a quirk of my local birds.
It always takes me too long to net my two bushes (and two black currants), even though they are in a nice straight(ish) line and I have the same net and hoops available each year, because I have to clear out first the encroaching raspberries and Jerusalem artichokes which some idiot (guilty as charged) planted too close.I net them when the gooseberries are pea size (though it's more the black currants that the birds go for). That gives the birds a chance to get the sawfly grubs first.
No sawfly here for a couple of years... famous last words....
I keep my gooseberries and pinkcurrants in buckets, and only had sawfly once which completely defoliate the bushes overnight! At least birds just nick the fruit...