Oh no, stay away from BlueHost. I have literally tried EVERY host that's around the web. BlueHost is on the same level as HostGator. They are putting too many customers on each server, loading speed for the first byte is very bad and customer support are a bunch of retards. What's your budget?
If it's mid $$, than you can go with
Kinsta or
WP Engine. I prefer to have Kinsta, because I'd like their admin interface.
If you're short on money, you can go with
SiteGround. Very reliable, fast speeds but not entirely optimized for WordPress.
P.s. I am not affiliated with any of these hosting companies.