These bookmarks are search queries.
I know this is pretty broad, and new to this idea. I just don't feel paying a few hundred dollars a month is feasible or rational.
I have no problem getting hosting, etc.
There's a useful free service called IFTTT (stands for If This happens, Then do That).
IFTTT works with channels, each channel can have trigger and/or actions. As an example, there are channel for Dropbox, email, SMS, RSS and many others. In IFTTT you can configure receipes like this: If the RSS Channel has new information, Then send the title or the content to email and/or SMS. You could use a receipe like this to do what you want.
If your bookmarks are not RSS feeds, then you'll probablly need to do some custom workaround (e.g.: create a php page in a free hosting that fetch your bookmarks information and returns it in the same format as RSS, and then use that page as an RSS Channel in IFTTT).