The kitchen is in good condition overall. No new appliances needed. The only work required is resurfacing the cement countertops, which have accumulated chips over time.
Repair/Resurface: Fill chips, reseal surface. Less expensive, preserves existing countertops. Good option if damage is cosmetic. Cost: $200-600 professional, less DIY.
Professional Resurfacing: Specialized concrete countertop refinisher can grind, fill, and reseal for a like-new appearance. Cost: $300-800 depending on extent of work.
Full Replacement: Only if damage is structural or if a complete change is desired. Significantly more expensive ($2,000-5,000+). Not recommended given current condition.
Concrete countertop repair is moderately DIY-friendly. Repair kits and concrete patch products are available. The challenge is color-matching and achieving a smooth finish. If the countertops are a custom color, professional help may yield better results.
This is a contained, cosmetic project. The chips are aesthetic issues, not functional problems. Cement countertops are durable and the underlying material is likely fine.
The slate flooring being in great condition is a real asset—no kitchen floor work needed saves significant time and money.
Timing is flexible. This can be done whenever convenient and doesn't need to coordinate with other major work.
If pursuing DIY, test repair approach in an inconspicuous area first to verify color match and technique before tackling visible areas.