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We used these in a similar situation. Floating wouldn't have been strong enough.
https://www.sdslondon.co.uk/mital-shelf-brackets/wood-shelf-bracket-140-x-190-mm.html
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Floating can be fine as long as you make sure the brackets are well packed in the shelves (often they arrive a bit sloppy) and use proper long screws into the wall- perhaps even with some resin as the brick is so crumbly. I just used IKEA Lack in my kitchen and they’re holding up well three years later
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Cutwrights will cut you floating shelves from any of their laminates, birch ply or MDF (up to 35mm off the top of my head) they can also edge band the MDF with preparation tape (so the fibres don't show through), prime and drill the holes for you as well.
These are the strongest floating shelf brackets I've found. They come in different depths.
I need some shelves in my kitchen and am pondering brackets. It's a couple to go above this work surface here. Was initially planning on floating shelves but concerned they may be a bit thick (and possibly not strong enough, it will be going in to somewhat crumbly brick). Also struggling to find anywhere that sells custom sized, painted floating shelves so I'd have to do them myself.
Any suggestions for other brackets? Ideally want something unobtrusive but they will be reasonably large shelves (130cm x 25cm) with kitchen stuff on them so need to also be fairly strong. Cheers