Printed photos but slight color shifts observed.

I have recently printed few photos from my local print store. It's not a photography oriented print store.. it does all kinds of printing like banners and other stuff. Overall result was good but I saw slightly color shift of cyan towards blue and maybe slight shift of yellow to orange.

My lightroom export was in tiff and jpg. I gave tiff for printing. The printer they used was HP D5800. I also noticed the printer asks only pdf file so they converted locally to pdf but I didn't notice any change that time.

What can I do next time for this? I am not even sure if this is a repeatable outcome.

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