3 cats 1 small flat. Will it work out for them?

Hi, first I'd like to say I'm new here. 

So, I have 3 cats, originally adopted 2 and the other one showed up at my door step 3 months later, anyways, I'm a student and I'm moving to a new place.

The thing is I don't know if they will adept to such a small place (1 bedroom/kitchen plus the bathroom, the plus side is that there is a small... "yard" they can go to, sunny and fresh.)

I haven't moved yet, my current place is so much bigger that I'm afraid they won't adept. 

Here's a picture of the place i'm going to. http://*************/vHvTFf8.jpg

Super small right? I'm a student 

What should I do? I already asked the owner of the place if I could bring my cats she said it was alright.  But still, it worries me.

Welcome to TCS

The link doesn't work. Could you embed the image instead of linking?

Sure. I tried to find the edit button to the original post but couldn't find, so I'm gonna try here instead.

I think it will work if you make the most of the space you have. You need to go vertical, have lots of cat trees and maybe some cat shelving so they can get up from the floor. Have a look at cat shelving and cat highways on YouTube, there are some amazing videos of cat highways on there.

Is the yard fenced in? Think about cat proof fencing so they can't get out of the yard and then get a cat door so they can come in and out as they please. You can get cat doors that fit into sliding windows and lock into place so no one can break in. Also, out in the yard you could have some outdoor cat trees to make the most of the space there.

It could be a fun project if you're into DIY.

That would do for the cats, the question here should be: Would it work out for you aswell?.