I keep my bitcoin into online web wallet. I know that many peoples don't gibe a trust for online wallet but for now i haven't any support equipment to keep my bitcoin into desktop wallet or cold wallet.
Same with me. I do not have any wallet onlt the wallet I used for about two years now. And I think it is safe to store my bitcoin in that wallet because before you could actually make any transaction, you will require to have an identification. Illegal transactiin were blocked, I heard it on some of my friends. So it is okay for me to just store my bitcoins there.
I also do not use desktop wallets, not because I do not have the equipment but I'm more comfortable to use my wallet online because it is easier to use and flexible. I think the online wallet is also pretty safe. I've never had a problem with online wallets