Will be in Cordoba in Mid July. We will have a car and I'm a bit nervous about parking. Most hotels do not have their own parking. Is it easy to find parking? Would the garages have in and out service? We plan to cruise the countryside and then return to the city for lodging and dinner. Would we be better served staying outside of town and commute into town to see the sights? Any recommendations for hotels (I'd prefer one with a pool)?

We stayed at the Eurostars Palace in 2015 precisely because it had a parking garage with easy access via main roads to the surrounding area, yet it's only a 10 minute walk to the Mezquita. It was perfect.
https://www.eurostarshotels.co.uk/eurostars-palace.html

Second the Eurostars Palace.recommendation

It is easy to park in a public garage and walk to your hotel after dropping off luggage. You are not limited in where you choose to stay. I found it an easy, relaxed walk.