1. Support
Good support is really important. What happens if their servers fail?

2. Uptime
No point in having an account, with a site you can’t visit is there?

3. Price
Why pay bucket loads for nothing? Make a good price.

Price is most important thing for me.

reliability, reliabilty and once again, reliability

Well i would suggest

1) Support : No matter Hosting Companies offer very cheap plans , the question is “Do the Hosting Company Provide 24X7 Reliable Support ?”

So support should be the topmost criterion to choose any host

2) Uptime : This is another major Aspect that should taken into consideration.

3) Feedbacks : Does your host get backs to you , to ensure everything is working fine with your site , are you facing any issues.
No matter unless you open a support ticket or get back to them on Live chat for support.
I think Hosting Company should monitor every accounts if they have any problems and contact them monthly if they are having any issues.

So the above 3 aspects should be considered while choosing any host.

I would have to go with
1, Reliabilty
2, Human Contact
3, Specifications

In my opinion

1. 24/7 support

2. Uptime

3. Price