I would like to store some bitcoins on a software wallet. But it seems like there are quite a few of these and new ones coming up all of the time.
For a newcomer like me can someone suggest which are the most popular?
Since you are new, you can try web wallet. It's very easy to use.
But do not store a huge amount of btc on web wallet.
For huge amount of btc you can store you btc in hardware wallet or desktop wallet.