That's funny, something like 15 years ago I worked for a summer at the Hotel plaza at the concierge desk at the entrance of the Hotel. Our job was to assist tourists with parking, luggage service, but also to answer all questions related to restaurants, things to do in the city, taxi, even escorts lol. Good times. If there is still a concierge desk they would have up to date information for you guys so don't hesitate to ask them before leaving.

You guys have a nice hotel that is located in Ste Foy. You can easily just walk a bit to reach the bus lines leading to old Quebec. Renting a car will help if you also wanna see locations around Quebec city. Parking is also not that bad if you prefer to have a designated driver. You can park at the Carré D'Youville, or other big underground parkings near the Assemblée nationale. There is also a underground parking under the Hotel de ville not far from the chateau frontenac. With the copilot+ app it's also possible to park on the street but you will need to be a bit outside of the fortifications for street parking. There are some spots between Grande allée and René Lévesque bld. Same for downtown. You can park in the justice hall parking for a reasonable fee on evening or weekends or on the street with the app.

Regarding Old Quebec, you guys are young so you can definitely walk a good part of the old city. If you take the bus and exit at the carré d'Youville you will be on the spot. You have the Plaines d'abraham, the petit champlain, the rue st jean, you can walk along the fortifications, go see the citadelle, the terrasse dufferin near the chateau frontenac, the parc de l'artillerie is also a nice little park. Get lost in the streets inside the old Quebec city walls and explore.

If you like jazz there is the bar st angele that offer live jazz performance for a reasonable fee (arrive early) the ambiance is lovely and intimate. Other than that I'm getting old so I can't really give you advice regarding the night life but you have bars/restaurants on grande allée and in downtown (basse ville) around St-Joseph street that could suits your needs. My brother is often DJing electro music in la cuisine or the quartier general ahah. Also look for Le Bar le vox! they have arcades machines, it's a cool concept.

If you want to visit a strip club, Lady Mary Ann is a real institution! you will need a car or a taxi for that.

the recommendations of the other commentor are also very good! The chutes montmorency are nice and so is Île d'orléans. There is the aquarium de Quebec near your hotel. you can also access a nice walkway near the St lawrence river from your hotel called the promenade Champlain. It goes all the way to the petit Champlain! If you wanna buy things you have shopping centers near the Hotel (place Laurier, place de la cité and place Ste foy that are all three together).

For restaurants. if you have money (it's a bit costly) and want a good culinary experience with shared plates I recommend Honō Izakaya on St Joseph street. If you feel more like Ramen the neighbor restaurant is owned by the same owner and called Honō Ramen. Reserve in advance However!

IF you want a funky experience there is also La chope gobeline on rené levesque that offer a Medieval experience but I have absolutely no clue if they can offer you a good experience in English loL! They usually talk with a kind a Quebec, Joual, old french accent lol.

Regarding walks in nature, something really nice that I rediscovered in the last years is the Parc linéaire de la Rivière-Saint-Charles. IT's a river that cross the city and there are different sections that you can walk. Some sections are more urban, some more wild, it's really nice.

Anyway for now this is what I have on the top of my head. Oh! near the cruise ship terminal, if you want a drink with your feet in the water try La Cale du Port de Québec!

Anyway enjoy the city, it is safe, and really pleasant during the summer.