I had malignant melanoma.
Best wishes to both of you. It will be ok. Basal cell is slow growing stuff. If 6 weeks out feels wrong to you, call the doc and ask for more info and clarification.
Skin cancer won't change your activities. You just start wearing long sleeve sun shirts and long pants. SusanO keeps a supply of great looking spf clothes to choose from here on TE, and all are over 30 spf. My favorite is a t-shirt by Shebeest. They are not too hot. You can buy longsleeve spf rashguards for swimming, long sleeve and vented sun jackets to throw on over your tank tops if you go outside. More big hats.
Sunscreen and sunblocks are good (and now you know to get the ones with both chemical screens and physical blocks) but your best protection is clothing. And even with clothing, I put block on my skin if I'm going to be out a long time.
Remember that the vast majority of the radiation that leads to skin cancer is absorbed in childhood. Not now. So, wearing screen instead of a screen/block combo is not what lead to the basal cell carcinoma. Don't blame yourselves!
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson