So what do you do if you've got a similar situation? Certainly it's a little easier when you have elected surgery coming up and you have some time to search for a pet sitter.
I've been doing this type of work for a long, long time. I guarantee you that that is not the norm. Many people live far away from their family members...especially in retirement states like Arizona. In addition to that they are not that close with family members in the first place.
Ah...but what if you think the way your neighbors care for their own animals is....well...this short of abusive? What if because of allergies your neighbor wouldn't go near your kitty with a ten foot pole? What if your neighbor travels for his job?
What if the adult neighbor you called assures you she will attend to your pet...but instead sends her eight year-old child to do it, instead?!
You'll want a professional...especially in this situation. You'll want to be able to concentrate on getting well...stressing about your animals all the time is not going to allow that.
Now...while you are calm...and not injured, or in the hospital, search out a pet sitter. Write out all the things you do everyday on a regular basis for your animals. Write down the kind of foods you buy for them...the supplements; where you keep their leashes, dishes, toys...etc. What are their habits?
Do a weekend test-run, with a new pet sitter. Try two, or three. Heck, it could be fun...you'll be getting away for a coupla weekends, to boot. Why not?
Your critters will thank you for it!!!