To get the best looking link page you will want to size your images correctly.
Profile Image Size - 500x500px
Background image - 1400x1400px
Link Icon Image Size - 250x250px
Note - Making the background image look good and fit the screen size will highly depend on what's in the image, so please take this into consideration when choosing an image.
Less busy and minimalist images will most likely look better. For example, patterns work extremely well across multiple sizes.