You haven't actually mentioned what watch you have
You can get the lug size very easily by googling your watch model + "lug size". The SuperOcean Heritage is 24mm, for example, and that's probably what you're looking for. And yes, typically any 24mm strap will fit all 24mm lugs unless they're proprietary (Hublot, AP, Ebel are examples of brands that use proprietary lug systems).
Cheers to SSTEEL for providing that link, I've been looking for a mesh myself as well!