You could combine sentences using a semicolon or keep them separate. The following text is from nationalpunctuationday.com.
Using 'however' as a conjunctive adverb: 'However' can be used to join two simple sentences to make a compound sentence. 'However' indicates the relationship between the two independent clauses is one of contrast or opposition. Use a semicolon before and a comma after 'however' when you are using it to write a compound sentence.
So, your example could be rephrased to this:
I've asked this question using many platforms and tend to get conflicting answers; however, I believe the users of StackExchange will provide a trustworthy answer.
Or, you could keep them as independent sentences:
I've asked this question using many platforms and tend to get conflicting answers. However, I believe the users of StackExchange will provide a trustworthy answer.
But, Purdue University recommends the first option as described below:
If you can combine simpler sentences into longer and more complex ones, your writing will have a lot more variety. It will also help you to communicate more content to your audiences—when you combine sentences, you can efficiently tell your readers about the relationships between different things.
I hope this helped!