Which adhesives for your stone?
The best adhesive is the one designated for natural stone. The common grey tiling glue may cause dye penetration.
Which grouts for your stone?
Due to the irregular shape of the stones you lay on your wall or floor, the width of the joints will vary. Use polymer joint mortar to fill spaces between stones. Using them ensures elasticity of the spaces between stones. And you minimize the risk of cracks caused by construction deformation effect and temperature changes between summer and winter periods.