@Mary Eubanks
Congratulations on closing on your first rental! I would say that getting good tenants in is one of the most important things and know your state and local laws. Have a handyman, plumber and electrician.
At first I stated no pets for my SFH in Indiana. My first tenant pulled a last minute "my daughter really wants a dog". She passed the background check, great credit score, everything so I didn't want to try to get a new tenant in place. After talking with my property manager. I decided to charge a monthly pet fee, $35 for a small dog/cat or $45 for a large dog (Labrador, Golden Retriever, Saint Bernard, etc). If I wanted to get specific, I could have stated the weight of the animal for the small and large sizes. My PM said some people do a pet deposit of about $200 and a monthly fee or just one. Sometimes it's not clear who does damage to the property, the people or the pet so he suggested doing the monthly pet fee. The pet fee also nets more money over a year than if I did the $200 deposit (if the tenant didn't get any of it back). I also stated tenant is responsible for mowing the lawn, no overnight guests for more than a certain number of days, no smoking, no other pets including visitors, etc
For my SFH in San Francisco Bay Area that I self-manage, I have the same rules as Indiana but a few more specifics. I stated in the lease: no candles, no smoking/vaping of any product inside the property, immediately mop up any spills or standing water, no non-operating vehicles, items they can store in the garage (bicycle is okay), no illegal drug use (I have to state the obvious) and "if any part of this lease is deemed invalid, it does not invalidate the other parts of the lease." I also can't charge pet deposit or fees for someone who has a registered emotional support animal. SFHs aren't subject to rent control (so far) but multi-units are. I have a Master Tenant to avoid the multi-unit issue and any roommates pay rent directly to the Master Tenant and have a written agreement/lease with the Master Tenant. I charge a garage use $100 monthly fee so whoever wants to park their cars in the 2 car garage pays for it. You probably won't have this issue in Texas with rent control.