You can use any moisturizer, lotion, or creme, or your skin can develop sebum and be more susceptible to acne. You are not meant to be acne-free. The way the skin can develop is different. The first step is to avoid excess sun exposure. If you have had sunburned it may be a good idea to wash with soap and water and apply a sunscreen (even if your skin will not have acne). There are many moisturizers that contain a sun protection factor. You can use products with this factor for a tighter skin. This is important for your skin because it protects your DNA. It prevents your skin from being sunburned and from being dehydrated. This protects your hair too. A lot of people think that applying too much sunscreens will make the skin look dry, but that's not true. It will be very dry if you apply more than the SPF. In fact, it might make the skin appear more even.
The best sunscreens for your skin are a combination of antioxidants and emollients. The antioxidants keep the skin's surface soft and moisturized while the emollients help to moisturize and protect the skin. If your skin is dry, use a lot of oil-free moisturizers instead of sunscreens.