How do I update my safari browser on my mac computer

I am between a rock and a hard place...My Safari needs updating...can't do that without updating my whole OS system...If I do that I will lose my printer and several programs that won't work with the OS upgrade...??!

Any suggestions?

Just keep your Mac up to date. Safari is part of the OS.

If it were me, I would upgrade or buy a new device. You're several generations behind in OS software. If you bought something new, you could still use your old software on the old device.