We have library cards at many different cities across the US. They have many activities during the winter months to entertain the kids. Lego club, reading club, library internships for your teenagers. You can get a library card in new cities with just your ID. It is very easy and helps the winter month boredom alot. We go once a week most weeks.
Look into your local community center for swimming. We love daytime open swim time. They also have art or dance classes and they are relatively reasonably priced.
Ikea has a indoor play place. You can check your kids in to play for 1 1/2 hours of supervised play time. Each day. Its free. And safe. We love Ikea! Plus I get to walk around the store with my oldest and have some quiet girl while the other kids burn off energy.
Look for local parks that have a walking path and a play ground. My hubby and I love to take walks and let the kids ride their bikes. With our tiny home this is the only way during the day that we can have an adult conversation and be with the kids. Most conversations take a few days to have around here due to lack of quiet space and well the kids like to listen when we do not want them to. We try to find a park with a walking path at every city that we visit.
We do fort building, play dough playing, art work, books on cd, bundle up and go to the local park, and lots of winter baking.
Here is our play dough recipe. A girlfriend of mine gave it to me years ago. It is a favorite around here and it will entertain the kids for a few hours.
4 cups flour
4 cups water
1 cup salt
4 T oil
1/2 cup cream of tarter
Mix it up and cook it on the stove top until it has the consistency or play dough. I then put it on the table and kneed it for a few minutes as it cools off. We add dye to it for the color. You can add a few drops of essential oils to it as well so it has a fabulous smell. Store it in an air tight container and it will keep for quite while. This is the amount that one recipe of play dough makes,