If you want to keep your current hats in good shape, I found a useful guide on cleaning different hat materials. It has some great tips.
https://matohash.com/blogs/news/cleaning-and-maintenance-of-different-hat-materials
I've heard mixed things about the new Tilley hats. If you're looking for other options, you might like Sunday Afternoons hats. The Charter Hat is pretty good, with a foldable brim and a spot for your sunglasses.