Where to look for modern website design inspiration
For award winning website designs, Awwwards is the usual place to look, and Behance is good for student and studio work. Study how those sites use type, space and movement, then think about what would suit your own work. Use them to learn techniques, not to copy a design.
Turning inspiration into your own page
Pick one idea you like, not ten. A page with one strong idea looks confident, and a page that tries everything looks unsure. Then put your best work first, since even the most striking design only holds attention for as long as the work is worth looking at.