Screw the hoses into the water supply holes. As a rule, a wrench is used. Hoses must be reinforced. In cheap faucets there are Chinese ones, which crumble from water like dust, which is fraught with huge problems. They can be bought separately and preferably by size, Don’t buy too long ones since the hoses do not stand strong fractures and bends.
Move the vanity with the sink. Shut off the water and screw in instead of the plugs barrels with corners, threads up, then hoses for water will be wound there.