Babae,
I was in a very similar situation as yours earlier this week. I focused on using Armory due to the offline wallet option without fully understanding bitcoin, blockchains and the complexity of the currency as a whole. If you're looking to simply "get into it", Armory really isn't the right
first choice.
Now, having said that, I'm good with it now and actually very glad I stuck it out and fought through the problems. I naively sent $20USD from Coinbase to my Armory wallet long before Armory was "ready" to receive them. This sounds a lot like what you're going through! I gathered some insight through various posts here, and here's what did it for me:
1. If you're working with the 0.96 version from the official website, scrap that. Go get the 0.96.0.3 testing build from goatpig's github repository. You can find it here:
https://github.com/goatpig/BitcoinArmory/releases Install that over the top of the current version you have.
2. Close Armory if it's open, and go to your Bitcoin base install location (Probably C:\Program Files\Bitcoin) and run "bitcoin-qt.exe". Let that run for as long as it takes to tell you it's current. This is pulling the entire blockchain down and making it ready, Armory needs this and in my experience has trouble keeping this process going without crashing in the background. You'll pull down around 128Gb of blockchain data, in my case this took around 3 days to finish (i5/8Gb/SSD).
3. Now once that's finished, clear out the files inside your Armory database directory. In my case this was located at C:\Users\yourusername\AppData\Roaming\Armory\databases\. Keep the databases folder, just delete all the contents within (ex. blkdata, headers, history, etc.)
4. You're ready to start Armory again, open it as you normally would with the desktop icon. It'll go through some initial organization steps, then you'll see it progress through the transaction verification stage. This took a couple more hours in my case, but it's now happily connected and I have my insignificant amount of BTC available! You'll know you're there when it says "Connected" in the lower right-hand corner with a number at or higher than 471782 blocks (current as of 1:10AM 6/18/2017 central time).
Hope that helps! Stick with it, if you happen to be looking for investment/savings options the offline wallet is tops, really no substitute for it!