[dyladan]

Well no cost is a bit of a misnomer. Usually, unless you host your own, when you don't pay in dollars you pay in privacy.

That being said, ownCloud is a great open source alternative to Drive (I host mine on digitalocean which is just starting to introduce block storage but amazon is an equally good option and very cost effective), Duck Duck Go is a very good web search engine these days with privacy as a core value.

It really depends how you use Photos. The automatic face detection and searching for people/events/things in your history is just about unparalleled and is unlikely to be surpassed by a more privacy friendly option in the near future. The reason for this is that these algorithms rely heavily on data collection, which is diametrically opposed to privacy. If you are only using it to backup/store photos in the cloud, ownCloud has similar functionality.

I have heard good things about fastmail to replace gmail but I have not used it myself.

I know you didn't mention it but for chat Matrix is a fantastic option with multiple options for open source clients. I use https://vector.im/beta as a client to access matrix.org but you could easily host your own matrix and/or vector server.