Initially, Things implemented the iPhone interface pretty well, simple one touch navigation gets you to your lists quickly, swiping up and down scans the list. Entering new tasks has been simplified with the 1.2 version doing it on one screen rather than two. 1.3.11 has kept this simple system and is still works well. The App speeds up with every version. Areas of Responsibility are now synched too and in your 'Next' list actions are separated by project.
You can sync with the desktop version of Things very easily as long as your Mac and your iPhone are on the same wireless network, just make sure you have Things running on the Mac and start it up on the iPhone. The two apps should sync almost straight away. So far this has proven to be a reliable and quick method. The nice bit about this is you can enter actions on the go dropping them in the Inbox, categorize them on your desktop and have it all synced in minutes at a later time. This has become much faster and reliable since my first review and normally happens within a few seconds of launching the App. Most importantly you can now choose to synch at any time from the desktop application by going to File Menu | Sync with 'My Phone' Now.
Every day Things will automatically log actions that you have marked as done (this can be set as a preference). All done actions remain in your Log giving you history of what you did get done.
Projects: These are great, instead of having all of your actions just floating in Today, Next or the Inbox, you can group them in Projects and and track them until the whole job is done.
Today: Normally with GTD, you have your Projects and singleton actions and only attempt to do the next action to progress your Project. Things brings the concept of Today to the Next actions list. Next contains all of the next actions you have in your system so each day you review this list and mark the few that you can do today and for the rest of the day you pretty much only deal with that one list.