Welcome to parenthood, also you can go to the shops, but it will be the three of you. Wait till other things start happening that affect your life, if you were a gamer that's now stopped for awhile, like to ride bikes or do something out the window, then when they are older your Saturday is now rush off to karate at 8am then rugby at 10am and when you get home at 1 you're like yaaaaah now I've still got to do my weekend duties.
Eh. My kid sits on my lap and plays with me. Also wants to play on her own. She's 4.
She LOVES shopping as well. Especially buying her cereal.
You learn and adapt.