Lee Inglis had twice avoided prison for previous knife attacks on Stacey Hogg in Hawick.
At-risk householders are to receive more accurate and timely warnings of potential issues.
The funding will help with the design costs for a potential £12m path between Hawick and Selkirk.
The last of three roads policing bases in the Borders - in Duns - closed at the end of August.
Police were called to reports of a break-in at Minto Golf Club near Hawick on Saturday night.
Shane Donnelly, 27, committed offences in St Boswells, Galashiels, Hawick and Selkirk last year.
The scheme near Hawick includes both solar panels and battery energy storage elements.
A proposed fast-food outlet in Hawick is being praised for its proximity to the new Hawick holiday village.
More than 1,600 plants were discovered after police carried out a search of premises in Dovecote Street, Hawick.