OP if you are interested in improving your skin generally (including eye wrinkles) look into a retinol product. It increases cellular turnover and also increases collagen production in the skin (which both decrease as we age). Over time it improves skin tone/ texture and decreases the look of wrinkles. But it is a long term thing, and your 30s is a good time to start as you begin to see changes in your skin.
You can buy over the counter retinol, however your best bet is to try tretinoin, which is the prescription strength - you can get it from Dermatica or Skin & Me (if you are in the UK). They are a subscription services which send you a bottle every month or so. I'm not in the UK and get mine from an online pharmacy.
I had to start out slowly, but eventually built up tolerance to using it under my eyes and on my upper eyelids. I'm 38 and have been using it for 2 or 3 years, it has made a big difference in my fine lines and my overall skin texture.
If you want more information look into skincare threads on here, there is some good information. The key thing is looking for active ingredients rather than brand names or expensive packaging. You don't need to spend a fortune, there are some really good cheap brands out there.
The very basics (if you wish to start) are:
Morning:
A vitamin C serum ( anything with L-ascorbic acid)
Good SPF (30+) - you NEED to use sunscreen with any retinol/vitamin c / AHA product.
Evening:
Retinol product.
Also a chemical exfoliant (AHA or BHA) once a week or so.
You will see good changes in your skin with consistent use over time, but it does time time and a bit of research.