An eviction generally takes several months, shows an extended period of unpaid rent or other problems, takes court approval, and is expensive for the landlord. It is challenging to find another landlord to ignore your past. This is the reason I encourage tenants the resolve issues with the landlords.
Your prior question asked "if you get a 3 day pay or quit" notice. It sounds like you are well past that. Even after a notice is given, you are typically given an opportunity to settle up with any past due rent. You now have an eviction on your record and most landlords don't like to see that. You can offer to pay more than the going rent to give incentive to the landlord, offer to prepay rent, offer to pay a large deposit, get a co-signer, etc? Did you ever pay the prior landlord for the eviction damages? If you did, that would show a new landlord that you pay your debts. If all else fails, start looking at places that are not as nice and maybe the landlords expectations are a little lower.