Chores and allowances should be kept separate, and chores should be different from routines. How it works in our house:
- Routines. These are tasks of daily living that everyone should do, every day - make beds, put clothes away, tidy up work and play spaces, tidy up the bathroom when done doing hair/make-up, clear own dishes from table, clean up after one's self when cooking or making snacks, etc. At 13, she should be able to automatically clean up after herself and do her own laundry.
- Chores. These are what every family member does to pitch in and contribute to running a household. At 13 these should include things like daily emptying the dishwasher or cleaning pots and pans after dinner and weekly detailed bathroom cleaning (including toilets, tub and floors), washing the kitchen floor, vacuuming, detailed bedroom cleaning, dusting, washing things like walls, windows and fans, cleaning appliances and cabinets, etc. Outside, this is routine tasks like mowing the lawn, weeding, vacuuming the pool, shoveling snow and seasonal tasks like power washing the deck, pruning shrubs, spreading loam and mulch, cleaning gutters, etc. These should be done regardless of whether or not she gets an allowance.
- Allowance. Don't tie this to chores per se. She does chores as part of the family, not because she's getting paid. Make it clear to her that as she gets older and can earn her own money, she is still expected to do chores. All the allowance does is put structure around the money you would be spending anyway and puts her in control of budgeting that and using it wisely. So figure out how much you normally spend a month on giving her money to go out (movies, ice cream with a friend, having a pizza delivered for a sleepover, etc.) or to buy things that she doesn't necessarily need - a certain hair product, accessories, etc. Then divide that into an equal amount to give her each week and let her know that the next time she asks to go to a movie or wants nail polish when you're at Target, it's coming out of her own wallet.
- Extra jobs. We do pay our older kids from time to time for extended baby-sitting (so if I go into the office and my daughter watches the younger boys for 6-8 hours instead of my hiring a sitter, I'll pay her what I would pay the sitter) and backbreaking tasks like refinishing the driveway or hauling rocks from the yard. I also pay my kids for getting the dead animals out of the pool filter because that's worth $5 to me to not have to dispose of some bloated mouse corpse.