In your case I would go closer to the $10 range. My reasoning is the 2 yr old is plenty of "work"
In our case we used to have a 18-19yr old friend watch our 3 girls when they were young... ages 1,3,5 (or later 2,4,6) and paid her $10/hr (plus dinner) because at that age they were work!! (Diapers or potty accidents, sometimes had to put to bed, just little kids)
But nowadays we have a 13 yr old girl that watches our girls every once in awhile and we pay her $5/hr. The difference is, the girls are now 5,7,9... older, know to mind the rules (or tattle on the other!) stay up and play board games or watch TV. They have never gave the neighbor any trouble, and if so, her parents are right next door. She seriously has it easy! (usually hanging out on the couch watching shows that she too enjoys)
So for me, the price is higher on the little ones (tantrums, nicknames for milk, may cry, can't "help" the sitter) than for older well-behaved kids who will likely watch the disney channel or play scrabble, clean their mess, show the sitter where the glasses are kept, etc.,
In our case we used to have a 18-19yr old friend watch our 3 girls when they were young... ages 1,3,5 (or later 2,4,6) and paid her $10/hr (plus dinner) because at that age they were work!! (Diapers or potty accidents, sometimes had to put to bed, just little kids)
But nowadays we have a 13 yr old girl that watches our girls every once in awhile and we pay her $5/hr. The difference is, the girls are now 5,7,9... older, know to mind the rules (or tattle on the other!) stay up and play board games or watch TV. They have never gave the neighbor any trouble, and if so, her parents are right next door. She seriously has it easy! (usually hanging out on the couch watching shows that she too enjoys)
So for me, the price is higher on the little ones (tantrums, nicknames for milk, may cry, can't "help" the sitter) than for older well-behaved kids who will likely watch the disney channel or play scrabble, clean their mess, show the sitter where the glasses are kept, etc.,


) but when I do I ask the daughter of a neighbor.

.
I've done my share of driving sitter's home and I just don't like to do it. There is nothing wrong with that. I will pay a higher wage to avoid it if I can. ETA: The other thing I would do is cut short my evening so that I will be able to drive the person home and as a grown woman, I don't like to have a curfew that is earlier than my sitters. Sure it is self-imposed. But it is all so that I can get the sitter home safely. Stinks to be home by 9 or so on a weekend night.