So, you've got your prospective piggy's home all made up ready for her. you've got food and supplies in and you've just arrived back with the new member of your family - it's a very exciting time isn't it ! It's so tempting to start cuddling and playing with her and introducing her to everyone including the family dog but the kindest thing to do is check she looks ok after the journey then pop your little piggy into her prepared pen with a little fresh food, hay and dry food [see if you can find out what she was being fed previously as it would help to give her the same at first - changing food should be done very gradually] and water - you may like to also give her a little cardboard box with some hay or bedding in it for her to hide in if she feels a little vulnerable, which she almost definately will do. Then, leave her in peace to settle in and work out where she is and to discover her new little world.
For the first day try to minimise movement and noise around her pen to allow her to settle. She will be very nervous of all the new smells and sounds and missing her litter mates - everything in her pen will be different and she will feel disorientated. When you go to check in on her go quietly into her room, talking to her so she hears you coming. Bring a little slice of cucumber or something similar in with you. You will probably find she'll scamper rapidly away and hide in her little box - don't be offended, this is completely normal - guinea pigs are prey animals which means that in the wild they are hunted down by other animals so they have developed an instinct to be naturally wary and to run and hide if they sense any threat. Don't worry - with care and patience you will earn her trust and she will know you as her friend and look forward to seeing you. Gently talk to her and attend to her food & water, don't try and pick her up yet - she has enough to contend with for today - a journey - a new house - new sounds and smells - she doesn't need to be picked up and examined and carried around the room. Leave the slice of cucumber near her - when you leave the room she will smell it and go and investigate - she will begin to associate food with your visits. She may even be brave and stay out in the open when you go to visit her - it very much depends on the pig - however it's much more normal for her to hide away. You may think she's not eating anything but look for signs of fresh food or hay having been nibbled, she will do this on her own when she feels brave - you may see little poops in the bedding - all good signs she has found her food. It is always so exciting to wake up the next day and get to go and see your new pig for the first morning - but remember that she is still nervous so it may not be as exciting for her ! After 2 or 3 days you can pick up the piggy but if you are very confident then before as it will boost your and your piggy's confidence.