To your secondary question:
Appropriately consider all estimated numbers involved with keeping the house compared to your closest estimate of what the home could sell for. Weigh out the pros and cons yourself as a stranger will not be able to 100% appreciate what you value and dislike. Remember to include insurances, taxes, HOA(s), and the actual mortgage payment. Depending on how you also plan to rent out the property, include whichever utilities you intend to cover (if any). There will also be costs for property management and upkeep as things will break overtime and tenants will not hesitate to get you (or your management) to fix them, either way that means you are paying.
I would also keep in mind while homes typically appreciate in value there is a higher risk with tenants for the value to depreciate to damages and poor upkeep. There are increased legal risks to renting, so be sure you have properly vetted whichever management you are going with. In extreme circumstances you also could be required to retain an attorney to defend yourself again litigation because whichever management team you hire will most likely defend themselves and not include you in that umbrella. My family lives in the LA area as well and a judge refused to throw out an obvious frivolous suit when my parents attempted to rent out a house. The possible renters after signing the main paperwork never showed to finish a second set of documents for renting. Parents immediately declined to rent to these people as they missed something so important without any explanation and they sued claiming racism, emotional damages, and some other really crazy things despite my parents never having met them (first meeting was between property management and renters only).
Personally and professionally, I would only suggest renting our the place and not selling if you can turn a profit after all the above mentioned costs. If renters are only paying to keep the property in the black you have yourself a non-earning asset which WILL be damaged over time and require repairs which will come out of your pocket. Also, while the property is unoccupied you also must remember it is not earning at that time.
Much of this may sound obvious, overcautious, etc... I simply wish to provide my family's experience to help you in making your decisions.
Best of luck with your endeavor.
Edit: Also, you will be required to report all earned rental income on your taxes. They will fall under the Schedule E and possibly K-1 area. I would strongly recommend consulting with an actual accountant about the impacts to you.