We'll have to wait for the CK to be released for PC before we can say definitively.
There are some free shacks, etc, but not all containers are safe.
When starting out, I like...
Spoiler
The Alchemist's Shack on the path from Riverwood to Ivarstead
It has a bed, alchemy table, garden and three containers.
The end table next to the bed is safe, but the two barrels are not..
...It's a free flop with a safe container. Nice spot until one can afford a town dwelling.
Edit: I use it just long enough until I can get Honeyside in Riften (not required to start the MQ or be a certain level).