I would go in following method.

First determine your requirements.

Your budget
Traffic == Daily visitors
Most Suitable Platform
Suitable Web Hosting type

Prepare list of your desired web hosting companies who can fulfill your requirements and are under your budget. Take each web hosting company one by one from the list and check whether they offer following features?

Affordable Prices.
Using Latest Hardware and Technologies.
Reliability.
Excellent Uptime Records.
Best Hosting Environment for WordPress.
User friendly Control Panels.
How long in business?
Money back Guarantee.
Great Reputation in Forums.
Above all, Highly Skilled 24/7/365 Responsive Technical Support.

Now, choose the your Web Hosting company who provides maximum number of features from above list.

Every body should take care of some points while choosing web host , Tips for choosing best web hosting services are given below which it should have atleast fulfill:
Control panels
Low cost
Security
Flexibility
Live booting
excellent uptime etc.

Thanks for tips.