Recs.
Updated
Evernote is a cross-platform note taking and idea capture utility that automatically syncs to the company's cloud service. It allows you to easily save websites, photos, and text for later usage or collaboration purposes.
For alternatives, see here.
SpecsUpdate
Pros
Cons
Con No ability to re-order notes other than sorting
Evernote has no way to re-order notes, nor even to change their display order. Sorting is the only option, and the "official" workaround (for years now) is to prefix note titles with line numbers manually so notes will sort and display as desired.
Con Constantly directs you to upgrading your account
The frequent reminders to upgrade your account can quickly become disruptive. You get notifications when using the app, and many of the features that show as available in the app are actually for paid accounts only (which, when you try to use them, will remind you to upgrade).
Con Bloated and complex
Evernote is too big, has too many features. Note taking apps need absolutely clean interface to allow unobtrusive note taking and not a struggle to search for which buttons to click. It focuses on the search feature so much that it doesn't encourage or make it immediately easy to organize your notes and thoughts. It's essentially a sophisticated notes dump with good search.
Con Security issues
Evernote had their entire database hacked and compromised including customer user passwords. They responded by locking valid users out of accounts and forcing password changes but are still vague about their own security policies. They do not have a good track record for data security. They also do not offer local personal encryption of entire Notebooks as Microsoft OneNote does.