You must develope your aim in this study in order to define methodology.
I invite you to see this link : Gidna, A., Yravedra, J., & Domínguez-Rodrigo, M. (2013). A cautionary note on the use of captive carnivores to model wild predator behavior: a comparison of bone modification patterns on long bones by captive and wild lions. Journal of Archaeological Science, 40(4), 1903-1910.
Benson-Amram, S., Gilfillan, G., & McComb, K. (2018). Numerical assessment in the wild: insights from social carnivores. Philosophical Transactions of the Royal Society B: Biological Sciences, 373(1740), 20160508.
or this :
Ferreira, S. C. M., Torelli, F., Klein, S., Fyumagwa, R., Karesh, W. B., Hofer, H., ... & East, M. L. (2019). Evidence of high exposure to Toxoplasma gondii in free-ranging and captive African carnivores. International Journal for Parasitology: Parasites and Wildlife, 8, 111-117.
Dear Thaint, as Bara pointed out, you must define your research question with more specificity, ones determined, the scientific community can provide much helpful information. Are you more interested in the behavioral aspect during captivity, physical health conditions, conservation interest (reproduction), best practices, architecture, logistics, or all of the above? Also, observation of "small carnivores" is rather broad, many species demand rather specific conditions.
In case you want to asses behaviour, a good thing could be to use QBA (qualitative behavioural assessment) method together with quantitative methods so as to validate them
Is this a comparative, multi-species study, or investigation of a single species? Does zoo habitat enrichment factor into your proposed research? Given the predominant characteristic of small carnivores being primarily nocturnal in their activity patterns and foraging behaviour (with some species exhibiting flexible "cathemeral" activity patterns across the 24-hour cycle), you should arrange for nocturnal observations of the zoo animals. Consider using video monitoring (infra-red cameras); to make use of video data, you would need to have a very clearly defined ethogram in order to quantify elements of the small carnivore behaviour in zoo settings.
for each animals observations , there are many related articles on a specific animal. you can search and read the related articles from google scholar. its the best way.