Scotland, Isle of Skye with two toddlers?

I'm sorry to be so general about travel (all of Scotland??) but that's where we're starting in our plans.  I've wanted to see the Isle of Skye for a decade now, is it doable with two toddlers?  I love the idea of seeing waterfalls off of cliffs but then I think about my wee ones and freak out about safety.

Doesn't look like we could bring a pushchair on a hike, of course, but we do have a backpack for one child and I can sling the youngest.

We're thinking about staying a couple of weeks.  Maybe longer, if needed.

We'd like to rent a vacation home, not oppress a hotel or B&B with our loud, sometimes crying selves.  We stayed in a very chic hotel in Paris and frankly, I just don't want to put other guests through the rambunctiousness of toddlers.  It's best if we have our own space, too.

Any thoughts, suggestions are so welcome.  Thanks.

The Isle of Skye is beautiful.  Enjoy your time there.

I can't say too much about renting a cottage or self-accommodating places as we stayed in a B&B.  If you do decide to hike, have you considered a child harness?  At least with a harness the child can walk, but you have control over where they go.  We use a harness when we walk our local tow-paths.  There's some pretty steep drops into the water and with the harness we feel completely safe.

We're thinking about staying a couple of weeks.  Maybe longer, if needed.

I've never been to Skye, but i have spent time on other Scottish islands (Islay, Jura, Arran)...  I think you'll find 2 weeks is plenty, if not too long.   We go to Islay every summer for 2 weeks, and i am champing at the bit to get home before the first week is over.  It's beautiful and peaceful, but there's not a lot to do apart from enjoying the beauty and peace, and frankly there is a limit to that for me.