
Hi Loz, welcome to the Board and congrats on your new puppy - sounds like you're doing a great job so far :)
Re his first venture into the outside world, have you already carried him around places to let him get used to differents sights and sounds etc? If not, start that tomorrow ;) He doesn't need to be put on the ground if that un-nerves you - although I take mine out to non doggy places and walk them on a lead a week after their first jabs.
The main things are to not put any pressure on him by over-exposing him to too many things at once but equally, if he's a bit cautious (unlikely I should think in a Border :P ) don't molly-coddle him - try and stay chirpy and upbeat and he won't be rewarded for any fearful behaviour by misunderstanding your reassurances.
Find a bench on a busy shopping precinct and just sit with him and let him watch the world go by - pups invariably attract much attention and if he's bouncy and happy with that let people make a fuss of him. If he's a little more reserved, just take things easy and don't put him under any pressure.
From a "taking him on walks" point of view, he really doesn't need this as a way of exercise - I'm sure he gets plenty of that playing with you at home and in the garden so just walk him for 5/6 minutes and stop for a while to let him sniff about and see and hear new things. Then walk him back to the car, house, bus stop whatever. During the course of the day he should not really get more than 15 minutes lead-work exercise in total at his age. :)
If you introduce him to as much as possible in the first few weeks and let him become accustomed to things at his own pace he will be bright, bold and happy - very much a feature of this lovely breed. HTH, Good luck and keep us posted! Teri :)