I've had this page open for a while wanting some specific ideas myself. Some interesting comments, so I'll tell you what we do.
My oldest son is nine and the next one is only two. The nine year old has his own calendar and has a chore each day. The chore can be done on his own schedule, but if it's not done before bedtime he doesn't get paid for it. To encourage him to still do that chore at some point, all chores have to be done by Sunday to get paid for any of them.
Monday he does the trash. The main kitchen trash, bathroom trash, and any diaper trash (we have a three month old son, too). This all goes outside and he even takes the toter to the curb.
Tuesday is dishes. They need to be done about every other day, so with three of us (me, dad, and him) capable, we're each doing our share as part of the family.
Wednesday he spends thirty minutes doing scout or project work. He doesn't get paid for this, as we pay his scout dues. He agreed that's fair. :)
Thursday is recycling. All of our recyclables get stacked by the trash can or on our kitchen counter and we try to take out and sort every other day with dad and I doing our share as well.
Friday is his own room. He's not allowed to have anyone over or go do anything until it's done. He would really procrastinated on this one so we hoped by putting this extra rule in place, he would take the initiative to do this early (or even, I know it's radical, keep it clean through the week!). Keeping it clean through the week would mean he only had to dust and vacuum Friday. He agreed this would be a great idea but we've yet to see that happen.
Saturday is housework, which means where his help is needed, or our choice.
Sunday is laundry. Washed, dried, folded, and all put away. Just his own clothes.
He gets $1 per chore, so if he finished them all on time, he'd get $6 for the week (no pay for scout work).
We sat down with him to determine the things he does so that he had his say and wouldn't come to us later claiming something is unfair. Most of it is his stuff. Trash is the only thing we don't necessarily do ourselves, but dad and I do the bathrooms and he agreed that's fair enough, he'd prefer to take out the trash than clean toilets.
I feel he gets a good lesson in what it takes to keep the house in order and take care of his own things. He's old enough to start receiving an allowance, so we use that as incentive, but that's just us.
He gets 30 minutes of free time (almost always video games, whatever he chooses) if his chore is done at least 30 minutes prior to bedtime.
I know this is long Amd detailed but maybe something helped someone. It took us a while to get it all hammered out and follow through with it.
We are somewhat flexible though and what we consider reasonable also in that if dad happens to be doing yardwork and son goes out to help without being asked, he may get paid for that as a bonus, or we may count that as his chore for the day, depending on what the scheduled chore is.
I'd like him to have more that he's responsible for over the summer, which is why I was really curious to see the responses you got. None of his chores are very time-consuming.
It does sound like you have a lot of opportunities for help with your dogs and gardening. Just be sure your kids agree it's fair. Well, I suggest that anyway. We recently sat down with our son again and went over all he does to see if he thinks we ask him to do anything he thinks is unfair. I know there are plenty of people out there who would say, "you're the parent, he does what you say whether he thinks it's fair or not" but I feel like we get a better response treating him as an equal in this way. He's not our slave! We feel he should have some say (within reason).
Hope something helped.
Enjoy your summer!