maybe someone can help with this???

[abatis]

i am making a site for my cousins new storage business. he wants to use two domains one which is the entire name of the company all spelled out completely and the other an abbreviated version he wants to use for print ads etc....

so we want to make them both point to the same site which i already did by associating both domains with the same server. but my question is....how will doing something like this affect things like search engines, etc...? should i do one as a perm 301 to the other or is just having them both on the same host good enough? i have no experience doing this before so any info on this type of thing is appreciated!! thanks everyone.

-abatis