I am a small size musical instruments exporter from India.  I am
looking for a company to accept my shipments of Instruments (already
packed) and then store them at there warehouse in the U.S.  Upon my
instructions I then want these instruments to mailed/shipped on an
individual basis to various addresses provided by me on a day to day
basis.  I have no set up in the U.S currently, bu the distribution
company will have to do nothing accept store my products and ship
products on a daily/weekly basis to addresses provided by me via
email.
I will consider the question answered if you can provide me a list of
companies that provide the above mentioned service.

Hello bakshi01,

And thank you for your question.

The type of business you are looking for is called a Fulfillment
Center. Searching Google for fulfillment center brings up an number of
companies with menus of services to make your distribution near
effortless.

For example, the first company to show on this search is Global
Response at http://www.globalresponse.com . On their page regarding
fulfillment, which is joust one of the services they have to offer,
they mention:

"For the convenience of its customers, Global Response operates a
complete fulfillment center just minutes from its main call center
headquarters in Margate, FL.

CSC Fulfillment offers: 

Credit card processing 
Product assembly 
Bookbinding 
Shrink wrapping 
Secured storage 
Pick, pack, and ship 
Save time and money --- let Global Response handle everything for you!

For immediate, personalized service,
contact us at fulfillment@globalresponse.com
 

Global Response Corporation
777 South State Road 7
Margate, Florida 33068
954-973-7300 
800-537-8000 

This should be typical of the services available to you. Many of these
companies also handle inbound and outbound teleservices including
order taking, lead generation, help desk support and even marketing
surveys. You may find them to have more value for you than only
storage, picking and shipping.

As you have requested a list of potential service providers for you, I
next visited the dmoz Open Directory Project and this page on
Business: Transportation and Logistics: Distribution and Logistics:
Distribution: Internet Order Fulfillment -
http://dmoz.org/Business/Transportation_and_Logistics/Distribution_and_Logistics/Distribution/Internet_Order_Fulfillment/
. Here you will find 84 listings and I will provide you a few examples
of the selection on this page (full listings with hyperlinks to the
individual web sites will be found at the page listed):

ABC Data Entry - E-commerce inventory, packing and shipping services
based on internet transmitted orders.

Access Business Group, Inc. - Provides nationwide order fulfillment
through a network of 9 distribution centers.

AIDC, American International Distribution Corporation - Full service
publication fulfillment house. Includes telemarketing, letter press
printing and all fulfillment functions.

American Fulfillment LLC - Fulfillment and distribution center. 

Austin Fulfillment - Providing fulfillment, call center and online
ordering services for ecommerce as well as brick and mortar companies.
Austin TX

Bradley Direct - Offering backend ecommerce, fulfillment, call center,
and drop ship solutions.

Concepts Fulfillment - Internet, telemarketing, credit card
processing, literature fulfillment, merchandise fulfillment.

CustomerDirect.com - An ecommerce fulfillment house offering order
fulfillment services and business solutions.

And many, many more.

Additionally, Yahoo's Directory of Businesses also lists Fulfillment
Providers at their heading of Home > Business and Economy > Business
to Business > Corporate Services > Customer Service > Fulfillment
Services at http://dir.yahoo.com/Business_and_Economy/Business_to_Business/Corporate_Services/Customer_Service/Fulfillment_Services/
. Here you will find well over 100 companies to serve your ditribution
needs and all with hyperlinks to the companies and their contacts.
Just a sampling include:

WBSfulfillment - offers a variety of fulfillment services, including
warehousing, shipping, direct marketing, and order processing.

Fosdick Fulfillment Corporation - full service fulfillment company
providing order processing, warehousing, and pick, pack, and ship
services to the direct marketing industry.

Intelship - third-party provider of fulfillment, warehousing,
shipping, and logistic services.
One World Distribution - offers shipping and fulfillment services for
online and traditional businesses.

Fulfillment America - services include infomercials, telemarketing,
computerized order entry, credit card verification,
packaging/collating automation, and warehouse/storage.

I trust this will lead you to finding the ideal distribution service
for your products. Do request clarification if any of the above is
unclear.

Best regards,

-=clouseau=-