Congratulations on your promotion, and for recognizing there is a problem. HR training is only one aspect of your solution. Managing and team building demands your immediate attention. In my experience, your team members need their job descriptions handed to them in writing and signed; then they need to understand their actual role in the management of the property. As a manager, you need to understand what it takes to perform each member's job duties - it's helpful to know why it should not take 1.5-2 days to clean a unit. There are all kinds of systems that can be put in place to help your property run smoother.
Job Descriptions can be written by your corporate HR department. IF you have none, you can research a bit from others and online and write your own. Submit them to your supervisor for approval. Attorneys typically write these to ensure fair and ethical wording and that nothing goes against what is best for the company.
Job Shadowing is a term used to help each team member understand what the other does by following them for a couple of days to experience what it take to complete their duties.
Team Building and By-In is needed whenever a new person is added to the mix in a management role. There is a hierarchy in your team: Manager, usually a Lead Maintenance Tech or a Supervisor who assigns and prioritizes the schedule according to move ins, move outs and capital projects. These people order supplies for the maintenance team, work with contractors (or work closely with the Manager in this task) and perform work orders, etc. Techs, Grounds Crew, Cleaners, Painters, etc. are all a part of the team process.
Just an observation, but you might consider having the Lead Tech (Supervisor) full time and another maintenance tech full time, and using painters for turns on a property this size. Personally, I prefer using contractors for cleaning as well, especially if the on staff cleaner may not be working out. This brings me to building your team. You can hire for attitude and train for skill. If team members are burned out or showing signs of unhappiness, it is up to you to find out what is going on and helping to correct the negative behavior. It takes time but it is worth it to build the team.
The best way to keep everyone on track is to have your Make Ready Board, sticking to the schedules and always communicate goals and needs with the team. Daily meetings with the Supervisor are recommended and weekly or bi-monthly team members are a nice touch. Everyone wants to feel valued and included and the goals of the property must continually be communicated to everyone. I find sometimes people forget why the job they do is important and valuable. Finally, sometimes rewarding team members with small bonuses and special recognition works wonders, too.
Back to the HR issues, it is important all staff is trained in the policies of the company, told of the benefits (sick days, vacation days, the procedures for FMLA, etc.) and Sexual Harassment, and Fair Housing. If your company does not do this, you need to ask your Regional about this and find out how to handle these situations. That is simple risk management.
You can do it! Don't despair ... Rome was not built in a day and typically, no team is either. For your own benefit, you might consider utilizing some ILS training for you and your team, too, through companies like The Training Factor and Grace Hill. You would really like this training.