J.L.
I remember how demanding your first and only child may get at times. Try to initiate some play that she can sit down and do by herself and know you are a short distance away. Try to put half of her toys away and bring out a box once a week and rotate them. This usually keeps them interested in exploring on their own and might change the topic with her not to focus on what shes not getting rather then what she has infront of her. My kids tend to get very bored with what they always see on the top of the toybox and it works great.
When I only had my son it was very diffacult I could never get anything done. He demanded every minute of my attention, good or bad. The earlier you initiate their free play the easier it get's to just walk away when you need to hurry up and do something quickly and return. Maybe get her a push toy that she can use herself to walk along with. They even make them that fold into a toy car in a later stage after they are walking. Make it a game, just be thankful shes not running away from you yet and realizing how fast she can go by herself :) She will for sure realize soon how wonderful it feels to have freedom and to be a big girl!