Seeing that the recovery model is set to simple and msdn states that the simple recovery model does not support point-in-time recovery - Does this mean that I won't be able to use my transaction log backups to restore the database in a disaster to an hour before it happened?
Even taking a transaction log backup is not supported for databases using the SIMPLE recovery model. This is a restriction of the database engine based on how this recovery model works, and the recovery features it doesn't support, as you mentioned.
A transaction log backup maintenance plan task automatically skips databases in SIMPLE recovery to avoid causing errors.
Which backup should be done first, the database backup or the transaction log backups? Articles that I'm busy reading say I should do the database backup first and then the transaction log backup else I will get maintenance plan errors, but I'm currently first backing up my transaction logs and then data databases and I'm not getting any errors.
For the reasons I mentioned above, it won't matter for databases using SIMPLE recovery, as they will be skipped by the transaction log backup task.
For databases in the other two recovery models, a full backup must exist before you start taking transaction log backups (just the first time), or you will get an error -- this is probably what the articles refer to.
Point-in-time recovery ability is normally driven by business need -- in other words, you determine how critical the data is and how much you can afford to lose, then set the appropriate recovery model to meet those needs, and finally create a backup solution.
Even though SIMPLE recovery does not support point-in-time recovery, if an hour of data loss is okay, perhaps a differential backup solution could work for you. (There are far too many variables that go into developing this kind of solution to give you a complete picture with what was provided in the question.)
Best Answer
I would say that there isn't necessarily a Best Practice, this is more of a matter of personal preference or your businesses operating procedures. I've had separate folders per database, then sub folders for FULL, DIFF, LOG at some jobs, others everything goes to a single folder and the backup name is some combination of database name, backup type, and datetimestamp to make each file uniquely named. I'd recommend looking at Ola Hallengren's maintenance solution:
https://ola.hallengren.com/
This is what I recommend to all my clients for database maintenance and backups and it handles everything dealing with the file naming and folder structure automatically for you. Just run his script and set the jobs to run at the frequency and schedule that meets your requirements and you are all done.