Am i correct in saying that there are only main two search engines out there- Google and Bing ?
Most of the alternative search engines (Such as DuckDuckGo) return Bing results but strip out the advertising.
Startpage is the only one (that i am aware of) that returns Google results.
Unfortunately the best search engine for results and presentation is Google- but its also the one I trust least of all.
Yes and no. Google and Bing are merely the largest global web crawlers, so in that respect you are correct. In other words, for most of the western countries, Latin-America, Caribbean, Australia and parts of Africa these two are the only options you got (as in proper independent web crawlers and index).
However, there are several other crawlers out there for their own target audiences. Yandex from Russia, the several Chinese-only index crawlers (Baidu to name the largest index), Korea has Naver, Japan and Vietnam a few gigantic search indexes in their own respective languages too. It all depends on the target audience, generally speaking [2].
To name a few alternatives that have been round for quite a while, that
do have their own index and crawlers:
[1] SwissCows is a bit of a hybrid. It uses Bing for international searches, but has its own index and crawlers for German websites/-pages or containing the German language.
[2] These are just the onces I remember from memory.