I would be worried that this would be discriminatory behavior, but it is probably OK since it is focused on the income.  

Try to take note of who was who when they signed your list, so you can make notes about rude behavior, etc.I would not require them to turn in the application right then and there, but tell them that you will need it by (whenever you want to start processing applications).Then, when you are ready to start processing the applications you received, start crossing out names off the list that didn't return an application or were denied for any other reason, and make notes to that effect.Then, start doing your credit checks, etc., in order of the ones left on your list you are willing to consider.Then, when you have your short list, start calling them and asking for copies of pay stubs, etc.Then, see what you get, and start calling employers and previous landlords, and Googling them, etc.Then, make your offer to your top choice, on down, if they are no longer interested.Good luck!

Include the CCR in your lease and have the tenant sign that if fines are incured due to the tenant behavior, the tenant will be in breach of the lease.99% of the time the tenant is doing one of a few things: parking in a red zone, having loud parties, bringing to many guests to the pool, unsightly belongings visible, unsupervised pets, not leashed, defacate in the common area, unsupervised children (that make noise and break stuff), speeding in the deiveway, bringing food, glass, beer or marijuana (legal in CO but not CA) into the pool area, indecent or illegal activities in the common area.I've seen it all.

Hi all, I have an ex-tenant which I evicted due to their hostile behavior which threaten other tenants.

Your behavior can be considered a waiver of the terms in the lease requiring rent on the first.  

There has been no behavior problem either.  

This is beyond unreasonable behavior. 

Given enough time and lots of good behavior, she'll be able to eventually improve her situation.

Then you are not open to all pets yet not closing off the possibility altogether....So, for example, one small well behaved dog you may approve  (especially one that a previous landlord says was not a noise, damage or other problem) but a pack of loud unruly ones not so much...And you can refine some of what you are looking for in terms of size, behavior, numbers, breeds, ages (no puppies without house training for me, eg), even spaded/neutered (especially for male cats, etc), references (ie how the owner did with a pet in past places), etc... 

To that end, you may request from the tenants that are being disturbed that they provide some documentation of the behavior that has occurred.