Bows are TRICKY.
I've a feeling that I've written something about this before , so do the searchy-thing (which I'm not very good at). However, in my experience it's very much the 'Harry Potter' wand thing - the bow (wand) chooses you (the wizard

) and not the other way round.
Last year I took my much-loved bow in for rehair. It had taken me over a year to find this as the perfect bow-match for my previous violin , however I had upgraded my violin about four or five years ago and had felt since that the new violin could benefit further from a different (lighter, faster) bow but, realistically, there was no way that I would be able to afford to upgrade my bow for a long time to come. I was having several bows reahaired at the same time so borrowed a replacement for the weekend from my luthier (who had restored the first bow for me, and knows me and my instruments well).
To cut a long story short, I knew as soon as he put the 'bow to borrow' in my hand that it would be the perfect partner for my violin and this was only confirmed as soon as I got it home and started playing. I had to raid the piggybank and partexchange the other bow in order to be able to afford it, but am delighted that I did.
I like to think that the violin, player and bow have to work perfectly together as a very well-matched team, and that the 'right' bow has to fit perfectly as the final part of the jigsaw, and that special piece can be the hardest to find. DO enjoy your search.
Have you been to London, to Guivier's? They help a lot of London students and young professionals find instruments and bows and are very approachable and helpful.
Good luck in your search, M