Hi rblake,
Welcome to FT!
The answer to your question could very well depend on your company's travel policy.
(1) They may force you to use a corporate credit card
(2) They may have specific airlines and/or hotels to use. If so, it may make sense to choose a card associated with either of those
Before you rush, I would try to answer those questions. After that, choices can be determined by
(1) what are you trying to achieve? Hotel rewards, cash back, award air tickets?
(2) in which country are you based (since it will impact the available solutions)?
(3) is there a preferred airline alliance you're looking at?
(4) do you have a particular hotel chain you prefer?
No solution fits everyone, so think about these aspects first before making up your mind.
Cheers,
GenevaFlyer