If you want to get a bitless bridle, I would strongly recommend saving up and get a good one. I know they are not cheap but I do not recommend a cheap one. If you really don't want to spend a lot of money then I suggest looking for a used one :)
I love Nurtural bitless bridles, they have the circle X under the chin to prevent any pinching of the skin. Plus Zoe Brooks and Sherri are awesome to deal with and very helpful.
You can visit this website below if your in Canada or they sell them on ebay
as well if your in US or from another country Nurtural Bitless Bridle – The better bitless bridle