The corrections made by Felix are spot on, so I won't highlight them again here, but I do have some suggestions (see below).

Today's blah : Obsession with Teddy bears

I have an obsession with teddy bears.
I have 6 teddies in my room right now and about 10 teddies in the closet.
Each of them has its own name, and every time I look into their eyes it looks like they have a soul. Once, I heard from my mom that she threw away a big teddy bear I really loved without my permission when I was around 5 or 6.  She thinks that is when my obsession started.  I am 23 years old now and sometimes I think it might look creepy in other people's eyes.

I have added some commas where the natural pauses would go if I were to read this aloud.  The first one is because you are joining two complete, but related thoughts with a conjunction.  Second, and more important I think, adding the comma after "Once" makes it clear that you are recalling a memory.

I switched the order of the details of your memory because, to me, the most important part is that the teddy bear you really loved was thrown away without your permission.  Your age at the time is also important, so it really just depends on how you want to express that memory. 

The last bit I added because I think it sounds more natural, but there wasn't anything wrong with Felix's corrected version.

Overall it's very good!  Keep up the good work!

Today's blah : Obsession with Teddy bears

I have an obsession with teddy bears.
I have six teddy bears in my room right now and about 10 teddy bears in the closet.
Each of them has their own names and every time I look into their eyes, it looks like they have souls. My mom once told me that she threw away a big teddy bear that I really loved when I was around five or six without my permission and she thinks that my obsession started then. I am 23 years old now and sometimes think it might look creepy in other people's eyes.

Today's blah : Obsession with Teddy bears