Absolutely! I've left on several 10 day stints... and they have been fantastic. (I've also traveled with my son... which is also amazing, just in a TOTALLY different way. What's amazing how if you're a culturally adept traveler how many DOORS kids open for you. So when you feel more comfy keep that in mind for later trips. They may be too young to remember -although they may also surprise you, kiddo vividly remembers pieces of trips from only 1.5, and he's 8 now- but it just changes the way that people within the culture interact with you. America is a very unfriendly place for children, the rest of the world I've found is the exact opposite.) Because while taking kids opens a lot of doors, traveling just as an adult is just a wildly different experience (like being able to spend 10 hours in a museum;). So I'm not trying to talk you in, it's just a thing to keep in mind for LATER. Get your grownup time in.
Absolutely no regrets whatsoever. GUARANTEED first couple days I'm wigging. Death thoughts. Freakazoid thoughts. Guilt guilt guilt. But my son LOVES it when he gets to stay with Nana. They are soooo close, and have such an amazing relationship that the extra time has always proven to be a huge blessing. Then, of course, by the end of the trip... I don't wanna go back!!! ((Only half kidding. Of *course* you want to go back, but the mom-guilt at that point is totally gone.))
Tips and tricks from my own experience (aka what works best for us, may bot be best for everyone).
1) Kiddo has a once a month overnight with my parents, and a once a week playdate with them. So he has always been VERY comfortable with them. First trip I left it up to my mum if she wanted to stay in our house or take him to theirs for sleep (aka she was the one in the trenches and I trust her judgement).
2) Set times to phone every night. Don't be surprised if your kids could care less that you're on the phone. Sigh. Where's the love? No really, it's just that he was totally happy where he was and "busy" with something. When he was little it was about 50/50 whether he'd want to get on or not. The checking in has far more to do with making PARENTS happy than making kids happy.
3) DO NOT pick them up the day you get back. Give yourself 1-2 days to sleep off the jet lag and unpack and get back into being "home".
4) It takes about 3-7 days after picking them up for the normal routine to reestablish.
5) Make sure each has a present to be given on your return.
6) MOST IMPORTANTLY... like in all areas of life, kids take their cues on how to react from the adults around them. If the adults are acting like it's traumatic and scary, kids fill the role expected of them (after all if it scares God Like Parents, it must be *terrifying*). Ditto if it's "Your mother just up and leaves you!" or "How could I leave my baaaaabyyyyy????" the kids will wig. If, instead, it's "What a grand time you'll have! You're so lucky!" kids will run with that as well.
I also have to say that while my mum usually took us with her when she travelled (particularly me, since I was oldest / he only for a little while) she and my dad would also leave about twice a year on trips of their own. Usually for 1-3 weeks. Them being gone (when I was old enough to really realize they were gone, prior to age 4 life was just life) was an ADVENTURE FOR US!!! We got to stay with family or friends, got special things to do... it was FUN for us. It's FAR harder being mum leaving, than it was to be child who was left.