I've always put my 2 in bed at about 7 at this age. Our DS who is now 2 and a bit goes at 7.30-8ish.

Our DD wakes at around 6.30am back to bed at 9.30-10 for a couple of hours, then another sleep at about 2.30-3ish for an hour or so, then bath at 6.30 bed at 7. It's totally doable and very reasonable I think!