After spending the last 5 years looking for the perfect pair, here's my advice
First, if you can, absolutely visit a specialised shop. Shoes are so subjective that buying online without trying them first is very very difficult.
On beginner shoes:
They exist for a reason! They are designed to be comfortable and they will last longer. The rubber is usually harder, meant to be abused by beginner's inevitable clumsy footwork.
The fact about you "quickly outgrowing" them is, in my opinion, a bit rubbish. I have recently climbed had to climb again in my first pair or beginner shoes (old Boreal Joker) and I found that in most situations they can perform as well as my recent "performance" expensive shoes (Otaki) (...Obviously not as good on more advanced moves that you won't be even attempting for at least a couple of years).
Those who say that are just making excuses for they poor technique ;P
A mate who has had the Tarantula is still climbing hard in them. They are one of the best beginner shoes for a reason.
I don't recommend getting really cheap ones like the Decathlon ones though.
The main thing you really need to care about is comfort.
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What are the brand you mentioned you local shop has? I would seriously consider travelling to a well stocked specialised shop, even if it's like 2 hours away. I've done it several times and never regretted it.
If that really isn't an option for you, then I'm afraid you'll have to get lucky online shopping. If you need advice for size, Bananafinger has a handy calculator at the bottom of every shoe page.
Good luck!
-- [edits for grammar and clarity]
Post edited at 19:06