Updating SharePoint 2010 pages from a client

We are using MS Hosted SharePoint 2010 (dedicated bpos also known as office 365).

We have a number of sites that are for support of applications we operate internally.

We want to update pages on those sites with statistics on our internal systems operations.  Information like # of active users over last week, # of DB records, etc.

Seems like 2 ways are: 1, modify existing pages on the site; 2, replace pages (and keep content for replacement here).  I'm not really sure how to do #2.

So, Assuming we're going with #1, can someone identify how we can modify content of a static page on our SharePoint site and provide an example of some code in VB.Net or C# that would modify a SharePoint page to replace a value.

Let's say for example we make the example simple.  We have a page with nothing on it except the # of DB records in our internal DB.  Can someone provide an example of how to set up a page with a value like that on it and the code to modify it (weekly schedules) to reflect a change to that field?

Code would need to start with the connection through existing.  The code would run on a Windows server at our end and connect to the SP as a "client".