I speak the same problem. And, the only website I am using at the moment is cryptocompare since that was the only place I knew prior you're mentioning Blockpholio. By far, I only store them around exchanges and have been planning to downsize my altcoin investment and focus only on 3/4 maximum.
Now, I am going to check out blockpholio and see if it fits my needs. Especially that you mentioned, they stored information remotely and just like yourself, I take this into consideration.
cointracking.info also seems pretty nice. You might want to see if that could be right for you. You can still import csv files from a lot of different exchanges.
what do you think about Coinigy? Espcially for trading it can be handy
Honestly, I have never tried it, I will have to look into it. But I don't know if I like it trading for me.