Is there a national database that is put out on institutions
who have just been awarded new funding or a database
for new Institutions being designed?

Yes, there is the CRISP database
http://crisp.cit.nih.gov/ for all NIH funding.

There is also a database (NaviGRANT) database put out by G&S Discovery out of Indianapolis which has all the NIH grant information but also about 20 other databases including other country funding

NIH (27 Institutes)
NSF
HHMI
SBIR
Centers for Disease Control
USDA
American Heart Association
Prostate Cancer Foundation
California Institute for Regenerative Med
Multiple Myeloma Research Foundation
National Alliance for Research of Schizophrenia and Depression
American Diabetes Association
Susan G. Komen Foundation
National Multiple Sclerosis Society
Alzheimer’s Association
Paralysis Project of America
American Foundation for Aging Research
Lymphoma Research Foundation
Sarcoma Foundation of America
Ellison Medical Foundation
American Assoc for Cancer Research
University of California Discovery Grants
Alzheimer’s Drug Discovery Foundation
American Health Assistance Foundation
American Parkinson’s Disease Association
California Breast Cancer Research Program
Arthritis National Research Foundation
American Society of Clinical Oncology
California Cancer Research Coordinating Committee

They also have access to new funding sources (the above are databases of awarded grants)