Hello, I have the playstation version of the Sims 3 and I have also had a character get stuck carrying a mixing bowl that will not go away. This is what worked for me:
If your household has more than one adult sim, the easiest fix is to kick out the sim with the bowl in his/her hand. Make that sim move out of the household and the rest of the sims will continue on as usual, as if the glitched sim never existed. If that sim is too important to get rid of, try reloading your data from before the glitch happened and avoid cooking when too many other sims are crowding around the stove or countertops. Be careful when the maid is at your house because they will sometimes block your sim from putting the bowl down. When they are eating let them finish before switching to another action. Make sure you save your sims in your Studio so you can at least put them in another household if your current sim story is ruined as a result of a glitch. I hope this helps a little.