Puffle, yes - you carry them absolutely everywhere and make sure they experience as many different environments and meet as many different people as possible. You can give them treats if/when they respond well to the new experiences, as that helps reinforce positive associations. Then as soon as they've finished their vaccinations, get them out and about meeting as many different sizes and breeds of dog as possible - although obviously trying to stick with the best mannered, most friendly dogs you can find. Puppy classes are an absolute must imo and check them out early, as some allow pre-vaccinated pups to come along in owners arms.
Toilet training is really down to your choice. It's easier to keep a patio area clean and preferable not to have them going on your lawn if you have dcs (wish I'd taught my dogs not to go on the grass - hindsight is a wonderful thing). My old gang of dogs had their own fenced off patio area, we dug a trench around it and half filled with gravel, before adding the topsoil on top, then another shallow layer of gravel. It was fantastically easy to keep clean, we used to just give it a quick sluice down with a bucket of water with added tea-tree oil daily and give it a quick scrub with a yard broom. That kept it clean and fresh, even in the height of summer.
If she's been used to going on puppy pads, you can just transfer the pads to the area you want her to go and then get rid of the pad as soon as she gets the idea. If not, just take her there at the times she would be most likely to go, so after sleeping, playing, eating and roughly every hour - more frequently if needs be - and praise and reward enthusiastically when she goes in the right place.