To really dig into the wrinkles you need to rebuild the health of your skin. so you need lots of moisture, like some rosehip or other nourishing face oil, and if you have really dry skin, a rich cream layered on top of that. You also would need something that looks after the skin cells- look for products with stabilized vitamin C (as in air tight packaging as C as sensitive to air and sunlight), copper, and B3, also known as niacinamide. For any of these ingredients to be efficacious they need to be in high enough concentrations.

Older skin also benefits from vitamin A or retinal, as it peels and renews skin but it can be potent so it's recommended to only use every second or third day at first and build up tolerance.

Gentle exfoliation a couple of times a week is also good for keeping skin looking fresh.

Keeping in mind once they're there you can't remove wrinkles! but you can soften their appearance, and make sure that new/renewing skin is supported.