@Marilyn187
Don't worry, you'll get over the trust factor quickly! For the most part (there are exceptions, of course) people are good and are not going to clean you out when you leave for the day. 🙂
I've found it's important to meet your guests and establish a personal connection with them when they check in. Also, most guests are not hanging out at your place all day.
If you have important things you wouldn't want anyone touching it's never a bad idea to have a locked room with those things. I have a lock on my master bedroom door but rarely use it.
As for pets, I have a dog and I always leave her in my room when I'm not there. That's where she usually stays anyway when I'm gone whether there are guests or not. Even though most guests are trustworthy, I personally wouldn't want to chance her accidentally slipping out the door or anything else that could happen with strangers in your house.
Just in case the closed doors aren't message enough, I have signs on my bedroom door and my office that clearly say, "PRIVATE. No guest access. Thank you!" I don't lock my office door but I do have a motion sensor camera in the room and it has NEVER been triggered by a snooping guest, so again, most people will respect your privacy.
Again, once you host a few guests, you'll be able to relax and not worry so much about not being there! Happy hosting!